What is the answer to 1/(sqrt(1-x^2))-3=0 ?

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

Solve for x: 1/(sqrt(1-x^2))-3=0

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

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

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

Decimal Notation

x = 0.94280 \dots, x = - 0.94280 \dots

Solution steps

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

Multiply both sides by

1 - x^{2}

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

Simplify

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

Move

1

to the right side

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

Divide both sides by

- 3

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

Square both sides:

1 - x^{2} = \frac{1}{9}

1 - x^{2} = \frac{1}{9}

Solve

1 - x^{2} = \frac{1}{9} : x = \frac{2 2}{3}, x = - \frac{2 2}{3}

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

Verify Solutions:

x = \frac{2 2}{3}

True

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

True

The solutions are

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

12 = 3 + x + 2 3 x

x + 17 - x + 1 = 2

1 + x + 2 x + 5 = 0

3 + x - 4 = 0

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