What is the answer to sqrt(x-1)+2=x ?

The answer to sqrt(x-1)+2=x is x=(5+sqrt(5))/2

Solve for x: sqrt(x-1)+2=x

The solution is x=(5+sqrt(5))/2

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x - 1 + 2 = x

x = \frac{5 + 5}{2}

Decimal Notation

x = 3.61803 \dots

Solution steps

x - 1 + 2 = x

Remove square roots

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

Solve

x - 1 = x^{2} - 4 x + 4 : x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

Verify Solutions:

x = \frac{5 + 5}{2}

True

, x = \frac{5 - 5}{2}

False

The solution is

x = \frac{5 + 5}{2}

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

\frac{2}{1 - x ^{2}} = π

x + 2 + 9 = 0

x^{- \frac{2}{3}} - 4 = 0

x + 6 = x

What is the answer to sqrt(x-1)+2=x ?
The answer to sqrt(x-1)+2=x is x=(5+sqrt(5))/2
Solve for x: sqrt(x-1)+2=x
The solution is x=(5+sqrt(5))/2