Question

Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

Square root x + 6 - 4 = x

Answer 1

-2, (-5 is extraneous)

Explanation:

assuming √(x+6) -4 =x

√(x+6) = x+4

square both side

x+6 = (x+4)^2

x+6 = x^2+8x+16

x^2+7x+10=0

(x+2)(x+5) = 0

x = -2, -5

put -5 back into org equation and it is not true

√(-5+6) -4 ≠ -5