What is the answer to sqrt(x+5)=x ?

The answer to sqrt(x+5)=x is x=(1+sqrt(21))/2

Solve for x: sqrt(x+5)=x

The solution is x=(1+sqrt(21))/2

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x + 5 = x

x = \frac{1 + 21}{2}

Decimal Notation

x = 2.79128 \dots

Solution steps

x + 5 = x

Square both sides:

x + 5 = x^{2}

x + 5 = x^{2}

Solve

x + 5 = x^{2} : x = \frac{1 + 21}{2}, x = \frac{1 - 21}{2}

x = \frac{1 + 21}{2}, x = \frac{1 - 21}{2}

Verify Solutions:

x = \frac{1 + 21}{2}

True

, x = \frac{1 - 21}{2}

False

The solution is

x = \frac{1 + 21}{2}

x^{2} + 5 = x + 1

x + 4 - 6 - x = 2

3 x + 1 = 3 x - 5

- 3 + 3 x = x

6 v + 15 = v + 4

What is the answer to sqrt(x+5)=x ?
The answer to sqrt(x+5)=x is x=(1+sqrt(21))/2
Solve for x: sqrt(x+5)=x
The solution is x=(1+sqrt(21))/2