What is the answer to sqrt(x/(x-3))=x-2 ?

The answer to sqrt(x/(x-3))=x-2 is x=4

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sqrt(x/(x-3))=x-2

\frac{x}{x - 3} = x - 2

x = 4

Solution steps

\frac{x}{x - 3} = x - 2

Square both sides:

\frac{x}{x - 3} = x^{2} - 4 x + 4

\frac{x}{x - 3} = x^{2} - 4 x + 4

Solve

\frac{x}{x - 3} = x^{2} - 4 x + 4 : x = 4

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

x^{\frac{- 1}{3}} = 0

x + 15 = x - 15

(v - 5)^{\frac{4}{3}} = 1

(u + 1)^{\frac{2}{3}} = - 4

x = 4 x + 2

What is the answer to sqrt(x/(x-3))=x-2 ?
The answer to sqrt(x/(x-3))=x-2 is x=4
Solve for x: sqrt(x/(x-3))=x-2
The solution is x=4