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

The answer to x=1+sqrt(x) is x=(3+sqrt(5))/2

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

The solution is x=(3+sqrt(5))/2

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Popular >

x = 1 + x

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

Decimal Notation

x = 2.61803 \dots

Solution steps

x = 1 + x

Remove square roots

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

Solve

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

x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

Verify Solutions:

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

True

, x = \frac{3 - 5}{2}

False

The solution is

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

2 = 5 - x

t - 3 t + 6 = 16

b = 6 + b

y, x = y + 3 - 4

\frac{1}{x} = 2

What is the answer to x=1+sqrt(x) ?
The answer to x=1+sqrt(x) is x=(3+sqrt(5))/2
Solve for x: x=1+sqrt(x)
The solution is x=(3+sqrt(5))/2