What is the answer to 1/(sqrt(1-x^2))=1.65 ?

The answer to 1/(sqrt(1-x^2))=1.65 is x=(sqrt(689))/(33),x=-(sqrt(689))/(33)

Solve for x: 1/(sqrt(1-x^2))=1.65

The solution is x=(sqrt(689))/(33),x=-(sqrt(689))/(33)

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\frac{1}{1 - x ^{2}} = 1.65

x = \frac{689}{33}, x = - \frac{689}{33}

Decimal Notation

x = 0.79541 \dots, x = - 0.79541 \dots

Solution steps

\frac{1}{1 - x ^{2}} = 1.65

Multiply both sides by

1 - x^{2}

\frac{1}{1 - x ^{2}} 1 - x^{2} = 1.65 1 - x^{2}

Simplify

1 = 1.65 1 - x^{2}

Switch sides

1.65 1 - x^{2} = 1

Multiply both sides by

100

165 1 - x^{2} = 100

Divide both sides by

165

1 - x^{2} = \frac{20}{33}

Square both sides:

1 - x^{2} = \frac{400}{1089}

1 - x^{2} = \frac{400}{1089}

Solve

1 - x^{2} = \frac{400}{1089} : x = \frac{689}{33}, x = - \frac{689}{33}

x = \frac{689}{33}, x = - \frac{689}{33}

Verify Solutions:

x = \frac{689}{33}

True

, x = - \frac{689}{33}

True

The solutions are

x = \frac{689}{33}, x = - \frac{689}{33}

x, (x^{2} - 1) y = 1

1 + x + 1 = 4

u + 3 = 8

x - 17 x + 70 = 0

y, x = y^{2} + 7 - 1

What is the answer to 1/(sqrt(1-x^2))=1.65 ?
The answer to 1/(sqrt(1-x^2))=1.65 is x=(sqrt(689))/(33),x=-(sqrt(689))/(33)
Solve for x: 1/(sqrt(1-x^2))=1.65
The solution is x=(sqrt(689))/(33),x=-(sqrt(689))/(33)