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}

False

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

True

The solution is

x = - \frac{1}{2}

y, x = y^{\frac{2}{3}}

x + 78 = x + 6

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))