What is the answer to x=2sqrt(x-4)+4 ?

The answer to x=2sqrt(x-4)+4 is x=8,x=4

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x=2sqrt(x-4)+4

x = 2 x - 4 + 4

x = 8, x = 4

Solution steps

x = 2 x - 4 + 4

Remove square roots

x^{2} - 8 x + 16 = 4 x - 16

Solve

x^{2} - 8 x + 16 = 4 x - 16 : x = 8, x = 4

x = 8, x = 4

Verify Solutions:

x = 8

True

, x = 4

True

The solutions are

x = 8, x = 4

2 x - 3 = 1

5 x - 9 - 3 = x + 4 - 2

10 x^{5} = 3 x^{2}

x - 9 = 5

9 x^{\frac{5}{3}} = 0