What is the answer to sqrt(1-x^2)=x ?

The answer to sqrt(1-x^2)=x is x= 1/(sqrt(2))

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sqrt(1-x^2)=x

1 - x^{2} = x

x = \frac{1}{2}

Decimal Notation

x = 0.70710 \dots

Solution steps

1 - x^{2} = x

Square both sides:

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

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

Solve

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

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

Verify Solutions:

x = \frac{1}{2}

True

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

False

The solution is

x = \frac{1}{2}

x^{2} + 5 = x + 3

(6 x - 3)^{\frac{2}{3}} + 6 = 15

x^{\frac{4}{3}} = 81

x^{2} - 6 x = 13 x^{2} - 6 x - 36

y = 3 + y^{2} - 5

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