find the estimates of x^2-x-2=3

Answers

Answer 1

Answer:

[tex]x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]

Step-by-step explanation:

Given

Quadratic equation is

[tex]x^2-x-2=3\\x^2-x-5=0[/tex]

Roots of the quadratic equation [tex]ax^2+bx+c=0[/tex] are

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]

So, for the given equation roots are

[tex]x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]


Related Questions

how do i find an equation for a line with an x-intercept of 4 and a y-intercept of -2

Answers

Answer:

The equation of a line is y = ax + b, where a is the slope and b is the y-intercept.  

Since we have the y-intercept, all we need to do is find the slope. To find the slope, you need 2 coordinates.

The y-intercept is where the line crosses the y axis, so it is where x is 0. Since the y intercept is -2, that means the first coordinate is (0, -2)

The x-intercept is where the line crosses the x axis, so it is where y is 0. Since the x intercept is 4, that means the second coordinate is (4, 0)

Since we already have the y-intercept, all we do is put the slope in the equation: y = 1/2x - 2.

Step-by-step explanation:

What are the leading coefficient and degree of the polynomial?
- 4x - 10x +3 - 10x2

Answers

Answer:

10x^2-4x-10x+3

leading C is 10

D is 2

Step-by-step explanation:

jan has a 12-ounce milkshake.Four ounces in the milkshake are vanilla,and the rest is chocolate.What are two equivalent fractions that represent the fraction of the milkshake that is vanilla

Answers

Answer:

In this item, we are given that out of 12 ounces of ingredients comprising the milkshake, there are 4 ounces vanilla. Expressing this into fraction will give us an answer of 4/12. This fraction can be one of the answers. Since we are asked for two fractions, we can simplify 4/12 such that we get an equivalent fraction that is equal to 2/6. Hence, the answers to this question are 4/12 and 2/6.

Step-by-step explanation:

14 x 18. How do you do distributive property?

Answers

The answer is:14x18= 252

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

Answers

Answer:

10 cents an ounce‍♂️‍♂️

Answer:

10 I believe but I can't remember everything because I learned this like a year ago

err i dont know U>U here you go peeps

Answers

Answer:

[tex] {x}^{2} + {y}^{2} + 4x - 2y = - 1 \\ ( {x}^{2}+2\times2\times x + {2}^{2} ) - 4 + ({y}^{2} - 2 \times 1 \times y + {1}^{2} ) - 1 = - 1 \\ {(x + 2)}^{2} - 4 + {(y - 1)}^{2} - 1 = - 1 \\ {(x + 2)}^{2} + {(y - 1)}^{2} = 4\\ {(x + 2)}^{2} + {(y - 1)}^{2} = {( 2) }^{2} [/tex]

Therefore, the centre of the circle is in ( -2, 1 )

and the radius of the circle is 2.

Formula used :-----

[tex] {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} [/tex]

equation of the circle

where r is the radius of the circle.

(A) 2 is the right answer.

Which type of data is more "perfect"?

Answers

Answer:

The answer is Graph Data

Answer:
Graph data is more “perfect”

56 is 0.4% of what number?​

Answers

0.224 is the answer to this question.

PLZ NEED HELP NOW TAKING TEST 40 POINTS
Two trains are traveling between city A and city B a distance of 4000 kilometers (km). The regular train travels at a speed of 80 kilometers per hour (km/h). The express train leaves at the same time on a parallel track and travels at 100 km/h. The formula for speed (S) is S=D/T where S is speed, D is distance and T is time. How much earlier will the express train arrive at city B?


10 HOURS

40 HOURS

50 HOURS

90 HOURS

Answers

Answer:

40 hours

Step-by-step explanation:

first i want to know the answer i think it is 40 hours or 10 hours or 50 or maybe 90 hours

HELPPPPPPPPPPPPPPPPPP

Answers

Answer:

The answer to this d=0.6t because evry minute it is .6

Arjun's piggy bank contains two kinds of coins and two kinds of bills. there are twice as many $1 bills like $5 bills. the number of quarters is 1 more than three times the number of $5 bills. and the number of dimes is 7 less than the number of quarters. how many of each type of bill and coin does Arjun have if the total is $39.90?

Answers

Answer:

$5 bills x 5, $1 bills x 10, quarters x 16, dimes x 9

Step-by-step explanation:

$5 bills = x, total = 5x$1 bills = 2x, total = xQuarters = 3x + 1, total = 0.25(3x + 1)Dimes = 3x + 1 - 7= 3x - 6, total = 0.1(3x - 6)

Equation below as the sum, solve for x:

5x + 2x + 0.25(3x + 1) + 0.1(3x - 6) = 39.97x + 0.75x + 0.25 + 0.3x - 0.6 = 39.98.05x  - 0.35 = 39.98.05x = 40.25x = 40.25/8.05x = 5

Number of each bill and coin:

$5 bills = 5$1 bills = 2*5 = 10Quarters = 3*5 + 1 = 16Dimes = 3*5 - 6 = 9

for what value of x is d parallel to e?
A) 20
B) 25
C) 35
D) 37

Answers

7x+3+2x-3 = 180
9x = 180
X= 20
A is the answer
I’m pretty sure It’s A
Hope this helps! Have a great day ^W*

I need help please :'v​

Answers

Answer:

Slope = 2

Step-by-step explanation:

[tex]\frac{-8-8}{-6-2}=\frac{-16}{-8}=2[/tex]

Answer:

2

Step-by-step explanation:

using formula given y2-y1/x2-x18-(-8)/2-(-6)8+8/2+616/82

3.75x-5-8.75X+4.5+0.5

Answers

Step-by-step explanation:

3.75x-5-8.75x+4.5+0.5

=3.75x-8.75x+4.5+0.5-5

=-5x+5-5

==-5x

The table below shows the temperature changes
Monday morning in Bedford, New York over a 4-hour
period after a cold front came through.
a. If the beginning temperature was -10°F at 5:00 a.m.,
what was the temperature at 9:00 a.m.?

Answers

It is going to be the last one question

What is x +2+3=125685334786457755555555599008766!! Be b

Answers

Step-by-step explanation:

you are banned from the Micky mouse club house

Answer: 125685334786457755555555599008771

Select all ratios that are equivalent to 4/8

Answers

? Where’s the ratios ?

What is the value of x. 4x-10 3x+2 5x-22

Answers

Answer:

X=35

Step-by-step explanation:

6X =45 SO ANSWER TO THE QUESTION IS 35

could someone please help me with this​

Answers

Answer:

E is the correct choice

Step-by-step explanation:

i hope this helps

Alice says that all the factors of 8 are even write down an example to show that Alice is wrong

Answers

Answer:

1 is a factor of 8

Step-by-step explanation:

1*8

Answer:

Step-by-step explanation:

1 x 8

n +-6 = 11
Please answer!

Answers

Answer:

n = 17

Step-by-step explanation:

+(-6) is the same thing as n - 6 = 11 to take out the + sign in order to avoid confusion.  Add 6 on both sides to get your n value which is 17.

Answer:

Step-by-step explanation:

here you go mate

step 1

n +-6 = 11  equation/Question

step 2

n +-6 = 11  add 6 to each side

n-6(+6)=11(+6)

answer

n=17

(-3, -7). 1/7 what is the equation in point slope form

Answers

Answer:

y+7 = 1/7(x+3)

Step-by-step explanation:

Point slope form of a line is given by

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

(y -  -7) = 1/7(x - -3)

y+7 = 1/7(x+3)

Select the correct answer.
What does point A represent in this box plot?

Answers

Answer:

A represents C. The smallest value

When you flip a biased coin the probability of getting a tail is 0.41.
Find the probability of getting a head.​

Answers

It would be 0.59. :))

Which solution shown below contains an error?
3
4
3x
4
3x+4
?
ਦੇਸ਼ ਦੇ
1
+2
2
x+2
1
x+1
+2
2
3
+
21-12
8x+8
(x+1)(x-6) * (x+1)(x-6)
+1
- 8
1px-4
(+1)(-6)

Answers

Answer:

B

Step-by-step explanation:

1/x+2 + 1/x+2 = 2/x+2 = 1/x+1.

20\left(-1.5r+0.75\right)20(−1.5r+0.75)20, left parenthesis, minus, 1, point, 5, r, plus, 0, point, 75, right parenthesis

Answers

Answer:

wet

Step-by-step explanation:

fart

Answer:

3.25

Step-by-step explanation:

did on khan

Solve for x in the parallelogram

Answers

Answer:

[tex]x = 8[/tex]

Step-by-step solution:

2D dimensions give us this equation when it comes to parallelograms like these:

[tex] \frac{area}{height} = side[/tex]

In this case, x is side. So now you do 104/13=x, so x=8.

OK!!! I NEED HELP AGAIN AND ITS HONESTLY SUPER EASY :/ I DONT KNOW WHY IM NOT doing it BY MYSELF BUTTTTT---- GIVING BRAINLIEST, FIVE STARS AND THANKSSS!

Which measurement is most accurate to describe the amount of water a bucket could hold?

3 gallons
5 pints
30 fl. oz.
10 cups

Answers

Answer:

3 gallons

Step-by-step explanation:

answers for the 2 boxes please ​

Answers

Answer:

(4,9)

Step-by-step explanation:

y = 2x + 1

y = x + 5

2x + 1 = x + 5

2x - x = 5 - 1

x = 4

y = x + 5

y = 4 + 5

y = 9

Check:

(4,9) ? Yep

PLEASE HELP DO THE ONES THAT ARE CIRCLED IT DIDNT TELL ME ANYTHING ELSE
Find the absolute value.
17.-|8|
18. |13|
19. |3 6/7|
20. |-134|
please help i dont know how to do this. I just went back to in person school and I told her it never taught me this. she argued with me and basically teach myself from pages of the math book. and I figured out some stuff but im confused with this part I'd love it if you'd help.​

Answers

An absolute value is the positive value of the number between the vertical lines.

If the number in between the vertical lines is negative, the absolute value become a positive.

 If the value in between the lines is already positive, it stays positive.

17. |-8| = 8

18. |13| = 13

19. |3 6/7| = 3 6/7

20. |-1.34| = 1.34

Answer:

17. 8

18.13

19. 3 6/7

20. 1.34

Step-by-step explanation:

The absolute value would just be the opposite of the original value.

Other Questions
Is it true that Anti federalist belived in less rights for the invidual than for the state In what way is Benny's dialogue about jazz music (I think that's to the melody") similar tohis dialogue about a love story ("It's like ... they're not")?AIn both cases, Benny says that detours that occur along the way aretolerable because there is a defined ending.roBIn both cases, Benny declares that people can use their experience to avoidbecoming disoriented.In both cases, Benny suggests that fictional situations are not as importantas real-life situations.DIn both cases, Benny stresses that an observer of events should remainneutral about them. Drag each percent to match the situation. Each percent may be used only once. Are assorted jelly beans heterogeneous or homogeneous 40 points please help I don't know what it is Choose the best combination of prepositions to complete the sentence.Moi, je suis (from) Paris mais maintenant, j'habite ____Lille. What conclusion can you draw about Cyruss style of government after reading the passage? He ruled by fear and forced his people to bend to his will. He believed in taking care of his people and respecting their culture He ordered all Babylonians to worship Marduk so the god would bless him. He felt the best way to rule was by making an alliance with Sumer and Akkad. What was the major obstacle Washington faced in his first years as President? 5. A cube has width of 8 cm. What is the volume of the cube?Anyone got an answer? A prediction about a problem that can be tested is a(n) _____ Which statements about freshwater sources are true? Check all that apply. B Only about 3 percent of Earth's water is fresh water Most of the fresh water on Earth is groundwater. About 75 percent of the fresh water on Earth is frozen in ice sheets. The largest source of usable fresh water is groundwater. More fresh water is in the atmosphere than in rivers and lakes. Name at least three POSITIVE things in Esperanzas life. What happened during the Seattle riot of 1886?A) Angry mobs forced all immigrants to move out of the state.B) Angry mobs drove Chinese immigrants out of their homes.C) Chinese immigrants were persuaded to leave peacefully.D) Chinese immigrants drove Americans out of their homes. Pls help, How is stoichiometry used to calculate amounts of substances in a chemical reaction? 30 POINTSSSSSSSSSSSSSSSSS AND BRAINLIESTTTSelect all the correct answers.The following excerpt from Anton Chekhov's The Proposal is a monologue. Which two statements can best help to distinguish this excerpt as a monologue?LOMOV: It's cold . . . I'm trembling all over, just as if I'd got an examination before me. The great thing is, I must have my mind made up. If I give myself time to think, to hesitate, to talk a lot, to look for an ideal, or for real love, then I'll never get married. . . . Brr! . . . It's cold! Natalya Stepanovna is an excellent housekeeper, not bad-looking, well-educated. . . .What more do I want? But I'm getting a noise in my ears from excitement. [Drinks] And it's impossible for me not to marry. . . . In the first place, I'm already 35a critical age, so to speak. In the second place, I ought to lead a quiet and regular life. . . .I suffer from palpitations, I'm excitable and always getting awfully upset. . . .At this very moment my lips are trembling, and there's a twitch in my right eyebrow. . . . But the very worst of all is the way I sleep. I no sooner get into bed and begin to go off when suddenly something in my left sidegives a pull, and I can feel it in my shoulder and head. . . . I jump up like a lunatic, walk about a bit, and lie down again, but as soon as I begin to get off to sleep there's another pull! And this may happen twenty times. . . .It contains stage directions.It is spoken by a single character.It reveals Lomovs personal thoughts.It develops Natalyas character. 50% SHADED TRUE OR FALSE If X=3 and y=3, then x =? I need help 6 . x = 42 A ball, starting from rest at Position 1, rolls down and then up a curved track towards Position 5. When it reaches Position 5, it rolls back down the track2Which description below is most consistent with what you can expect from the ball's motion?The ball will roll as high as Position 1 since energy cannot be created or destroyed.The ball will roll past Position 1 since energy cannot be created or destroyed.The ball will roll as high as Position 2 since some of the energy will be transformed to heat,The ball will roll as high as Position 3 since that position has the least potential energy.Kk What is the difference between a isoline map and dot map?