Question

What are the solutions to the equation? x^2−14x=15

Answer 1

x = 15 and x = -1

Explanation:

x^2 - 14x = 15

Subtract 15 from both sides:

x^2 - 14x -15 = 0

a = 1, b = -14, c = -15

Use the quadratic formula:

[-(-14) ± √-14^2 - 4(1)(-15)]/2(1)

[14 ± √196 - (-60)]/2

(14 ± √256)/2

(14 ± 16)/2

(14 + 16)/2 = 30/2 = 15

(14 - 16)/2 = -2/2 = -1

x = 15 and x = -1

Answer 2

The solutions to the equation are 15 and -1.