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blsea [12.9K]
3 years ago
5

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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