Identify all of the following solutions of square root of x plus 8 end root minus 6 equals x. a) x=-4 b) x=-7 c) x=-4 and x=-7 d) none of the above

√x+8 -6 = x
add 6 to both sides
√x+8 = x + 6
square both sides to get rid of the radical on the left side
(√x+8)² = (x+6)²
FOIL the (x+6)²
x+8 = x² + 12x +36
subtract x from the both sides
8 = x² + 11x + 36
subtract 8 from both sides
0 = x² + 11x + 28
7 times 4 is 28; 7+4=11
0 = (x+4)(x+7)
x = -7, -4
so the answer is C