Question

What is the solution to the equation below. square root x - 6 = x - 12

Answer 1

$\\ \rm\hookrightarrow \sqrt{x-6}=x-12$

$\\ \rm\hookrightarrow x-6=(x-12)^2$

$\\ \rm\hookrightarrow x-6=x^2-24x+144$

$\\ \rm\hookrightarrow x^2-25x+150=0$

$\\ \rm\hookrightarrow x^2-10x-15x+150=0$

$\\ \rm\hookrightarrow (x-10)(x-15)=0$

$\\ \rm\hookrightarrow x=15\:or \:10$

Answer 2

Answer:

$x = 15,10$ || C and D is the correct choices.

Step-by-step explanation:

$\sqrt{x-6}=x-12$

$x-6 =(x-12)^2$

$x-6 = x^2 -24x +144$

$x^2 -24x -x +144 +6 = 0$

$x^2 - 25x + 150= 0$

$x^2 -15x -10x +150=0$

$x(x-15)-10(x-15)=0$

$(x-15)(x-10) = 0$

$x = 15,10$