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

The answer to (x-2)^2=sqrt(x-2) is x=2,x=3

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(x-2)^2=sqrt(x-2)

(x - 2)^{2} = x - 2

x = 2, x = 3

Solution steps

(x - 2)^{2} = x - 2

Square both sides:

x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16 = x - 2

x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16 = x - 2

Solve

x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16 = x - 2 : x = 2, x = 3

x = 2, x = 3

Verify Solutions:

x = 2

True

, x = 3

True

The solutions are

x = 2, x = 3

x, 5 x^{\frac{2}{3}} + 1 = 21

2200 = 200 3 n

2 x + 3 - 3 x - 5 = 1

x + 6 - 8 = x - 4

x + 2 = - 3

What is the answer to (x-2)^2=sqrt(x-2) ?
The answer to (x-2)^2=sqrt(x-2) is x=2,x=3
Solve for x: (x-2)^2=sqrt(x-2)
The solution is x=2,x=3