college algebra

Question

Write a quadratic equation in x with the solutions -5 and 5.

Assume the coefficient of x2 is 1.

Answer 1

Hi Angelo, if the solutions are -5 and 5, you can create the factors for the equation using the zero product rule.

 

Factor for -5:

 

x = -5

 

x + 5 = 0

 

First factor is (x + 5)

 

Factor for 5:

 

x = 5

 

x - 5 = 0

 

Second factor is (x - 5)

 

Equation:

 

(x + 5) * (x - 5) = 0

 

x² - 25 = 0

 

Questions?