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 = 0.38196 \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}

False

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

True

The solution is

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

x^{- \frac{2}{3}} = \frac{1}{16}

72 - x = x

35 - x = \frac{x}{4}

(10 + 3 x) = x

0 = x 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