Question

Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+x=0
The solutions are -9,5.

Answer 1

In general, flip the sign of the solution or root to make it into one of the binomial factors
-9 --> (x+9)
5 --> (x-5)

(x+9)(x-5) = x^2 +9x -5x -45 = x^2 +4x -45