What is the answer to ((x-1))/((sqrt(x)+1))=1 ?

The answer to ((x-1))/((sqrt(x)+1))=1 is x=4

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((x-1))/((sqrt(x)+1))=1

\frac{( x - 1 )}{( x + 1 )} = 1

x = 4

Solution steps

\frac{( x - 1 )}{( x + 1 )} = 1

Multiply both sides by

x + 1

\frac{x - 1}{x + 1} (x + 1) = 1 \cdot (x + 1)

Simplify

x - 1 = x + 1

Remove square roots

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

Solve

x^{2} - 4 x + 4 = x : x = 4, x = 1

x = 4, x = 1

Verify Solutions:

x = 4

True

, x = 1

False

The solution is

x = 4

x + 1 = x - 1

(x + 1 + 1) (5 - x) = 2 x

x, x \cdot y^{2} = x^{\frac{1}{2}} \cdot y

\frac{b - 6}{7} = \frac{- 6}{7 + 5}

(8) 3 x^{2} - 2 6 x + 2 = 0

What is the answer to ((x-1))/((sqrt(x)+1))=1 ?
The answer to ((x-1))/((sqrt(x)+1))=1 is x=4
Solve for x: ((x-1))/((sqrt(x)+1))=1
The solution is x=4