Which quadratic equation has solutions x=8 and x=−1?

Answers

Answer 1

Answer: There are two ways you can do this

$<B>Using the formula</B>$

${x}^(2) - (sum \: of \: roots)x + poduct \: of \: roots = 0$

${x}^(2) - (8+-1)x + - 1 * 8 = 0$

${x}^(2) - 7x - 8 = 0$

$<B>Working backwards</B>$

$x = 8 \: or \: x = - 1$
$\Rightarrow x-8=0 \: or \: x+1=0$

$\Rightarrow (x-8)(x + 1)=0$
$\Rightarrow {x}^(2) + x -8x - 8 = 0$
$\Rightarrow {x}^(2) - 7x - 8 = 0$

Answer 2

Answer:

Final answer:

The quadratic equation which has solutions x=8 and x=-1 is x² - 7x - 8 = 0.

Explanation:

To find the quadratic equation with solutions x=8 and x=-1, we can use the property that in a quadratic equation ax²+bx+c=0, the sum of the roots is equal to -b/a, and the product of the roots is equal to c/a.

As we know the solutions here are x=8 and x=-1, therefore: sum of roots = 8 + (-1) = 7. product of roots = 8 * -1 = -8. Assuming 'a' as 1 (for simplicity), our quadratic equation would be x² - 7x - 8 = 0. So this is the quadratic equation that has solutions x=8 and x=-1.

Learn more about Quadratic Equation here:

brainly.com/question/30098550

#SPJ3

Related Questions

How can you use the Zero Product Property to solve quadraticequations in factored form?
Round 387.869911589to 3 decimal places
PLZ HELP ASAP!!!! A line has a slope of -1/2 and a y-intercept of 3. Which equations represent the line? Choose all answers that are correct. A. 2y=6 x B. x 2y=6 C. y=-1/2x 3 D. (y-2)=-1/2(x-2)
28 cups equals how many quarts
116% as a fraction or mixed number

Which question can best be answered by finding the surface area of a figure? A.How much water is needed to fill a pool?
B.How much paint is needed to paint a cube?
C.How far will a car drive around an oval race track?
D.How much concrete is needed to make a decorative tile for a garden?

Answers

surface area is like how much wrappin paper to wrap a present

anything to do with how much it can carry o it's volume aka capacity is not surface area

A is wrong, that's distance
B is correct
C, oval is not surface area, only distance
D is volume, how much concree

answe ri B

I believe its B.
because it can't be A. because its talking about volume
it cant be C. because that's perimeter
and it can't be D. because that is also volume.

PLEASE HELP ASAP!!!Complete each statement. If the triangles cannot be shown to be congruent from the information given, leave the triangle's name blank and write CanNot Be Determined (CNBD) in the spot for rule.

∆CAM ≅ Δ____
By rule ________

Answers

Answer:

Cannot be determined.

Step-by-step explanation:

Since, from the figure, it can be seen that there are two triangles that are triangle AMI and triangle AMC, in which only AM=AM as it is common in both the triangles. No other extra information is given regarding their congruency.

Therefore, ΔCAM is not congruent to any other triangle and the rule cannot be determined.

Answer: ∆CAM ≅ _none_

By rule __It cannot be determined_CNBD_____

Step-by-step explanation:

The triangular diagram shows NO congruency

Assumption

No information regarding the name of the triangle and therefore cannot determine if it is congruent.
AM is common to the triangles ∆CAM and ∆IAM

thus we cannot say triangle CAM is congruent to triangle IAM
Sides not indicated on either triangles to be equal
Angles not indicated on either triangles to be equal as well

Since there is no much information nothing can be said of its congruent.

The area of the base of a rectangular juice box is 4.5 square inches. If the volume of the box is 18 cubic inches, how tall is the box? Is the answer 4 right or wrong.

Answers

Volume=base area*height
18=4.5*x
x=18/4.5 = 4 :your answer is correct.

What two numbers Add into -17 but and multiply into 10

Answers

3x^2 - 15x - 2x - 10

3x • (x-5)+ 2 • (x-5)

Final result : (x - 5) • (3x - 2)

hope this helps u !!!

What is 82/100 in its simplest form?

Answers

41/50 because 82 divided by 2=41 and 100 divided by 2 is 50 so it equals 41/50.

The percentage would be 82%

The decimal would be 0.82.

What is 5/8ths of 48 , I need help I really don't get it

Answers

$\frac58\ \cdot\ 48=\n=\frac58\ \cdot\ (48)/(1)=\n=\frac51\ \cdot\ \frac61=\n=5\ \cdot\ 6=\n=30$

You multiply 5/8 with 48.
The answer will then be 30.

Other Questions

A golfer hits a ball from a starting elevation of 5 feet with a velocity of 70 feet per seconddown to a green with an elevation of -4 feet. The number of seconds t it takes the ball tohit the green can be represented by the equation - 16t2 + 706 + 5 = -4. How long does ittake the ball to land on the green?It takes the ball |seconds to land on the green.

4 quarts = how many cups

Neil had some olive oil. He used 1/5 liter to make a salad dressing. There was 1/2 liter of olive oil remaining in the bottle. What amount of olive oil did Neil have in the bottle before using some for the salad dressing and the steps to calculate it?