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

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

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

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

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x - x = 1

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

Decimal Notation

x = 2.61803 \dots

Solution steps

x - x = 1

Remove square roots

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

Solve

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

x + 6 + x - 2 - 4 = 0

x^{2} + 13 x + 37 = 1

\frac{c}{3} = 1

4 x + 16 + 4 = x

- f (a) = 2 - x + 5

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