Question

Complete the equation so that it has solutions of -5 and 7
2+

Answer 1

x^2 -2x -35 = 0

Explanation:

Lets's solve backwards

x = -5

Add 5 to both sides

x + 5 = 5 - 5

x + 5 = 0

and

x = 7

Subtract 7 from both sides

x - 7 = 7 - 7

x - 7 = 0

Finding the product of both linear functions

(x + 5)(x - 7) =0

x^2 -7x + 5x -35 =0

x^2 -2x -35 = 0