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

The answer to 1/(sqrt(1-x^2))=2 is x=(sqrt(3))/2 ,x=-(sqrt(3))/2

Solve for x: 1/(sqrt(1-x^2))=2

The solution is x=(sqrt(3))/2 ,x=-(sqrt(3))/2

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

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

Decimal Notation

x = 0.86602 \dots, x = - 0.86602 \dots

Solution steps

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

Multiply both sides by

1 - x^{2}

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

Simplify

1 = 2 1 - x^{2}

Switch sides

2 1 - x^{2} = 1

Divide both sides by

2

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

Square both sides:

1 - x^{2} = \frac{1}{4}

1 - x^{2} = \frac{1}{4}

Solve

1 - x^{2} = \frac{1}{4} : x = \frac{3}{2}, x = - \frac{3}{2}

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

Verify Solutions:

x = \frac{3}{2}

True

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

True

The solutions are

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

2 k + 24 = - 8 - 2 k

x^{2} - 5 x = x - 4

2 x^{\frac{- 1}{3}} - 2 = 0

3 x + 2 = 2 x + 9

2 x + 3 + 4 - x = 4

What is the answer to 1/(sqrt(1-x^2))=2 ?
The answer to 1/(sqrt(1-x^2))=2 is x=(sqrt(3))/2 ,x=-(sqrt(3))/2
Solve for x: 1/(sqrt(1-x^2))=2
The solution is x=(sqrt(3))/2 ,x=-(sqrt(3))/2