What is the answer to 1-x/(sqrt(1-x^2))=0 ?

The answer to 1-x/(sqrt(1-x^2))=0 is x= 1/(sqrt(2))

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1-x/(sqrt(1-x^2))=0

1 - \frac{x}{1 - x ^{2}} = 0

x = \frac{1}{2}

Decimal Notation

x = 0.70710 \dots

Solution steps

1 - \frac{x}{1 - x ^{2}} = 0

Multiply both sides by

1 - x^{2}

1 \cdot 1 - x^{2} - \frac{x}{1 - x ^{2}} 1 - x^{2} = 0 \cdot 1 - x^{2}

Simplify

1 - x^{2} - x = 0

Remove square roots

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 - 1)^{2} = [4 x - 4]^{2}

3 x + 1 - 4 = 0

20 - x^{2} + x + 2 = 0

y = y - 1

What is the answer to 1-x/(sqrt(1-x^2))=0 ?
The answer to 1-x/(sqrt(1-x^2))=0 is x= 1/(sqrt(2))
Solve for x: 1-x/(sqrt(1-x^2))=0
The solution is x= 1/(sqrt(2))