Write a quadratic equation that has the given solutions:

Question

The solutions:

1) x = 7, x = −3

2) x = −9, x = 10

3) x = 1, x = 4

Answer 1

1)

(x-7)(x+3)=0 (Put each solution into a factor.... x-7=0 equates to x=7, and x+3=0 equates to x=-3)

x²+3x-7x-21=0 (Multiply the factors using the FOIL method)

x²-4x-21=0 (Combine the "x" terms)

Use the same method on (2) and (3)....