Solve by completing the square to obtain exact solutions.
x² = 5-8x

ANSWER BELOW

X^2 +8x -5 = 0

Using the quadratic formula plug it in with a=1, b=8, c=-5

X=-4 + square root of 21, x= -4 - square root of 21

X2=5-8x move expression to the left side and change it sign

X2- 5+8x=0 use the commutative property to record the terms

X2+8x-5=0 determine the number of solutions using the discriminant D=b2-4 ac

D=8^2-4x1x(-5) simplify the expression

D=48

The answer would be $68.04