Write a quadratic equation that has the given solutions

Question

Write a quadratic equation that has the given solutions

x = -4, x = 5

Answer 1

A quadratic with solutions p, q will have the equation a (x-p) (x-q) where a is non zero.

So here p = -4, q = 5 so equation is a (x+4) (x-5) = a (x² -x -20)

You can choose any value for a you like, a=1 is easiest giving x² - x - 20.

You can plot this on Desmos and check the x-intercepts are -4 and 5.