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}

4 x - 7 = - x + 12

3 x + 1 = 7

\frac{3}{19 + t ^{2}} + C = 29

4 x + x = 3

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))