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

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

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x-2=sqrt(2x-4)

x - 2 = 2 x - 4

x = 4, x = 2

Solution steps

x - 2 = 2 x - 4

Square both sides:

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

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

Solve

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

x = 4, x = 2

Verify Solutions:

x = 4

True

, x = 2

True

The solutions are

x = 4, x = 2

(7 x + 1)^{\frac{3}{2}} + 6 = 222

3 x + 36 + 6 = x

(x - 2)^{\frac{2}{3}} = 81

x^{2} - 2 x + x = 0

35 \cdot x^{\frac{2}{3}} = 77