Question

Solve x=2√(x-4) + 4.

Answer 1

Answer:x=4,8

Step-by-step explanation:

Given

$x=2\sqrt{x-4}+4$

$x-4=2\sqrt{x-4}$

Squaring both sides

$(x-4)^2=4(x-4)$

$x^2+16-8x=4x-16$

$x^2-12x+32=0$

$x=\frac{12\pm \sqrt{12^2-4\times 32}}{2}$

$x=\frac{12\pm 4}{2}$

$x=4,8$