What is the answer to 3.25= 4/(sqrt(x^2-1)) ?

The answer to 3.25= 4/(sqrt(x^2-1)) is x=(5sqrt(17))/(13),x=-(5sqrt(17))/(13)

Solve for x: 3.25= 4/(sqrt(x^2-1))

The solution is x=(5sqrt(17))/(13),x=-(5sqrt(17))/(13)

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3.25 = \frac{4}{x ^{2} - 1}

x = \frac{5 17}{13}, x = - \frac{5 17}{13}

Decimal Notation

x = 1.58580 \dots, x = - 1.58580 \dots

Solution steps

3.25 = \frac{4}{x ^{2} - 1}

Multiply both sides by

x^{2} - 1

3.25 x^{2} - 1 = \frac{4}{x ^{2} - 1} x^{2} - 1

Simplify

3.25 x^{2} - 1 = 4

Multiply both sides by

100

325 x^{2} - 1 = 400

Divide both sides by

325

x^{2} - 1 = \frac{16}{13}

Square both sides:

x^{2} - 1 = \frac{256}{169}

x^{2} - 1 = \frac{256}{169}

Solve

x^{2} - 1 = \frac{256}{169} : x = \frac{5 17}{13}, x = - \frac{5 17}{13}

x = \frac{5 17}{13}, x = - \frac{5 17}{13}

Verify Solutions:

x = \frac{5 17}{13}

True

, x = - \frac{5 17}{13}

True

The solutions are

x = \frac{5 17}{13}, x = - \frac{5 17}{13}

- 5 p = 24 - p

5 (x + x) = 6 (3 x - 1)

2 x^{1} = - 2

What is the answer to 3.25= 4/(sqrt(x^2-1)) ?
The answer to 3.25= 4/(sqrt(x^2-1)) is x=(5sqrt(17))/(13),x=-(5sqrt(17))/(13)
Solve for x: 3.25= 4/(sqrt(x^2-1))
The solution is x=(5sqrt(17))/(13),x=-(5sqrt(17))/(13)