Question

What is the solution to the equation below? √x+6 = x-6

A. x=12
B. x=3
C. x=4
D. x=10

Answer 1

√x+6=x-6

squarring both side

x+6=x²-12x+36

0=x²-12x-x+36-6

x2-13x+30=0

x²-10x-3x+30=0

x(x-10)-3(x-10)=0

(x-10)(x-3)=0

either

x=10

or

x=3

Answer 2

D:X=10

Step-by-step explanation