Question

What is the solution to the equation ? (x - 2) ^ (1/2) + 4 = x

Answer 1

Answer:

x is equal to both 3 and 6.

Step-by-step explanation:

$\sqrt{x - 2} + 4 = x\\\sqrt{x - 2} = x - 4\\x - 2 = (x - 4)^2\\x - 2 = x^2 - 8x + 16\\x^2 - 9x + 18 = 0\\(x - 3)(x - 6) = 0$

So x values of 3 and 6 will make this statement true.