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

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.

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.

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*

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

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:

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.

(-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)

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

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

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:

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

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. :))

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:

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.

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

Select all ratios that are equivalent to 4/8

Answers

? Where’s the ratios ?

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

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

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

Answers

Answer:

A represents C. The smallest value

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.

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

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

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

could someone please help me with this​

Answers

Answer:

E is the correct choice

Step-by-step explanation:

i hope this helps

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:

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

14 x 18. How do you do distributive property?

Answers

The answer is:14x18= 252

HELPPPPPPPPPPPPPPPPPP

Answers

Answer:

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

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