SOLUTION: The question is: Use the numbers to create a quadratic equation with the solutions x=-1 and x=1/4. The numbers are: -5, -4, -3, -2, -1, 1, 2, 3, 4, 5 I have to answer the que

Algebra.Com
Question 1159830: The question is: Use the numbers to create a quadratic equation with the solutions x=-1 and x=1/4.
The numbers are: -5, -4, -3, -2, -1, 1, 2, 3, 4, 5
I have to answer the question in the format:
[number] x^2 + [number] x + [number] = 0

Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The question is: Use the numbers to create a quadratic equation with the solutions x=-1 and x=1/4.
------------
That's not a question.
----
create a quadratic equation with the solutions x=-1 and x=1/4.
------------
That's a request.
---
y = (x+1)*(x - 1/4) = x^2 + (3/4)x - (1/4) = 0
===========
The numbers are: -5, -4, -3, -2, -1, 1, 2, 3, 4, 5
IDK what relevance these numbers have.
-------------
I have to answer the question in the format:
[number] x^2 + [number] x + [number] = 0

Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

With the given roots, a quadratic function has an equation 

    y(x) = a*(x-(-1))*(x-1/4),

where "a" is an arbitrary real number.  Since you want the coefficients from the list, take a = 4 or -4.


You will get then

    y(x) = 4*(x+1)*(x-1/4) = (x+1)*(4x-1) = 4x^2 + 4x - x - 1 = 4x^2 + 3x - 1,

or

    y(x) = -4*(x+1)*(x-1/4) = -(x+1)*(4x-1) = -4x^2 - 4x + x + 1 = -4x^2 - 3x + 1.


These two forms give you two quadratic functions that satisfy the imposed conditions.

Solved, explained, answered and completed.



RELATED QUESTIONS

How to write a quadratic equation with the following numbers as solutions: -9/4 ,... (answered by JBarnum)
write a quadratic equation in the variable x having the given numbers as solutions. Type (answered by stanbon)
Use the quadratic formula to find the solutions to the quadratic equation below 3x^2 - (answered by nabla)
Use the quadratic formula to find the solutions to the quadratic equation below. Check... (answered by jim_thompson5910,vleith)
Write a quadratic equation having the given numbers as solutions. -4 and... (answered by oscargut)
Using the 2 solutions and the foil technique, create a quadratic equation. (x-6) (x-4) (answered by robertb)
2) Solve for x. 5x^2=-19x-12... (answered by Alan3354,ewatrrr)
Show work please 10.    Work backwards to write a quadratic equation that will have (answered by josgarithmetic)
Write a quadratic equation in the variable x having the given numbers as solutions. Type... (answered by Edwin McCravy)