What is the answer to 1/(sqrt(1-x^2))=2.5 ?

The answer to 1/(sqrt(1-x^2))=2.5 is x=(sqrt(21))/5 ,x=-(sqrt(21))/5

Solve for x: 1/(sqrt(1-x^2))=2.5

The solution is x=(sqrt(21))/5 ,x=-(sqrt(21))/5

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\frac{1}{1 - x ^{2}} = 2.5

x = \frac{21}{5}, x = - \frac{21}{5}

Decimal Notation

x = 0.91651 \dots, x = - 0.91651 \dots

Solution steps

\frac{1}{1 - x ^{2}} = 2.5

Multiply both sides by

1 - x^{2}

\frac{1}{1 - x ^{2}} 1 - x^{2} = 2.5 1 - x^{2}

Simplify

1 = 2.5 1 - x^{2}

Switch sides

2.5 1 - x^{2} = 1

Divide both sides by

2.5

1 - x^{2} = 0.4

Square both sides:

1 - x^{2} = 0.16

1 - x^{2} = 0.16

Solve

1 - x^{2} = 0.16 : x = \frac{21}{5}, x = - \frac{21}{5}

x = \frac{21}{5}, x = - \frac{21}{5}

Verify Solutions:

x = \frac{21}{5}

True

, x = - \frac{21}{5}

True

The solutions are

x = \frac{21}{5}, x = - \frac{21}{5}

5 x + 24 = 3 x - 16

z = - 1

What is the answer to 1/(sqrt(1-x^2))=2.5 ?
The answer to 1/(sqrt(1-x^2))=2.5 is x=(sqrt(21))/5 ,x=-(sqrt(21))/5
Solve for x: 1/(sqrt(1-x^2))=2.5
The solution is x=(sqrt(21))/5 ,x=-(sqrt(21))/5