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 of the quantity x plus 6 end quantity minus 4 equals x

yawn. ok.

(√x+6) - 4=x

(√x+6) = x+4

square the entire equation

x+6 = (X^2) + 16+4x

6=X squared + 16 + 3x

(x^2) + 3x-10

after this, use vieta's fórmula, quadratic roots formula, or make it a quadratic to identify the roots. then find the opposite of the x - ... or x + ... and then you have your answer

when I used quadratic roots formula (which I am strong at), I got x=-5 and x=2