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

The answer to 1/(sqrt(1-x^2))-2=0 is x=(sqrt(3))/2 ,x=-(sqrt(3))/2

Solve for x: 1/(sqrt(1-x^2))-2=0

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

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

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

Decimal

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

Solution steps

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

Multiply both sides by

1 - x^{2}

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

Simplify

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

Move

1

to the right side

- 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}

x - x^{2} - 3 = x - 1

16 = 7 + 11 - 7 n

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

2 x + 5 x = 3

x + 25 = x - 5

What is the answer to 1/(sqrt(1-x^2))-2=0 ?
The answer to 1/(sqrt(1-x^2))-2=0 is x=(sqrt(3))/2 ,x=-(sqrt(3))/2
Solve for x: 1/(sqrt(1-x^2))-2=0
The solution is x=(sqrt(3))/2 ,x=-(sqrt(3))/2