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^{2} - 17 - 8 = 0

x, y = 2 x - 1

6 x - 2 x = 4

6 + (2 x - 7)^{\frac{2}{3}} = 31

x, x^{2} + 9 = 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