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

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

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

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

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

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

Decimal Notation

h = 0.86602 \dots, h = - 0.86602 \dots

Solution steps

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

Multiply both sides by

1 - h^{2}

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

Simplify

1 = 2 1 - h^{2}

Switch sides

2 1 - h^{2} = 1

Divide both sides by

2

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

Square both sides:

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

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

Solve

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

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

Verify Solutions:

h = \frac{3}{2}

True

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

True

The solutions are

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

- x + 3 = x - 1

3 x - 2 = 81

x - 5 - 4 x - 7 = 0

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

x - 7 x + 6 = 0

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