Question

PLEASE HELP IF YOU CAN!! Use "completing square method" to write an equation for x² + 20x + 82 = -4 in prefect square form and solve for x

Answer 1

x^2 + 20x + 82 = -4

Subtract 82

x^2 + 20x = -86

CTS b/2 squared = 20/2 ^ 2 = 100

x^2 + 20x + 100 = -86 + 100
x^2 + 20x + 100 = 4
(x + 10)^2 = 4

Take the square root

x + 10 = +/- 2
x = -10 +/- 2

x = -10 + 2 = -8
x = -10 - 2 = -12

x = -8, -12