SOLUTION: I have been given a problem from a classmate that I find hard to figure. I need to write a quadratic equation that has the solution of: x=5 or x=-5 I am beginning to understand h

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: I have been given a problem from a classmate that I find hard to figure. I need to write a quadratic equation that has the solution of: x=5 or x=-5 I am beginning to understand h      Log On


   

Question 432549: I have been given a problem from a classmate that I find hard to figure. I need to write a quadratic equation that has the solution of:
x=5 or x=-5
I am beginning to understand how to work quadratics however I am not sure how to do this. Can someone help?
Found 2 solutions by algebrahouse.com, ewatrrr:
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
"I have been given a problem from a classmate that I find hard to figure. I need to write a quadratic equation that has the solution of:
x=5 or x=-5
I am beginning to understand how to work quadratics however I am not sure how to do this. Can someone help?"

Start from the solution and work towards the equation
x = 5, x = -5
x - 5 = 0 or x + 5 = 0 {subtracted 5 and added 5, respectively}
(x - 5)(x + 5) = 0 {multiplied together and set equal to 0}
x² - 25 = 0 {used foil method}
www.algebrahouse.com

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

The factor theorem states that a polynomial f(x) has a factor (x -k) 

if and only if f(k) = 0. 

quadratic with  x=5 or x=-5 being its solutions

 f(x) = (x-5)(x+5)

 f(x) = x^2 - 25