Solve x=2√(x-4) + 4.

Mathematics

1 answer:

stich3 [128]3 years ago

8 0

Answer:x=4,8

Step-by-step explanation:

Given

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

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

Squaring both sides

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

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

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

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

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

$x=4,8$

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Step-by-step explanation:

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