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

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

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

The solution is x=(1+sqrt(5))/2

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x + 1 = x

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

Decimal Notation

x = 1.61803 \dots

Solution steps

x + 1 = x

Square both sides:

x + 1 = x^{2}

x + 1 = x^{2}

Solve

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

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

Verify Solutions:

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

True

, x = \frac{1 - 5}{2}

False

The solution is

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

6 x + 8 = 6 + 8

2 + 7 x - 6 = x

x + 5 = x + 1

3.5 x^{3} - 10 x^{0.5} - 3 x = - 4

2 x - 3 = - 7

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