What is the answer to 3.267= 2/(sqrt(x^2-1)) ?

The answer to 3.267= 2/(sqrt(x^2-1)) is x=(sqrt(14673289))/(3267),x=-(sqrt(14673289))/(3267)

Solve for x: 3.267= 2/(sqrt(x^2-1))

The solution is x=(sqrt(14673289))/(3267),x=-(sqrt(14673289))/(3267)

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

x = \frac{14673289}{3267}, x = - \frac{14673289}{3267}

Decimal Notation

x = 1.17250 \dots, x = - 1.17250 \dots

Solution steps

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

Multiply both sides by

x^{2} - 1

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

Simplify

3.267 x^{2} - 1 = 2

Multiply both sides by

1000

3267 x^{2} - 1 = 2000

Divide both sides by

3267

x^{2} - 1 = \frac{2000}{3267}

Square both sides:

x^{2} - 1 = \frac{4000000}{10673289}

x^{2} - 1 = \frac{4000000}{10673289}

Solve

x^{2} - 1 = \frac{4000000}{10673289} : x = \frac{14673289}{3267}, x = - \frac{14673289}{3267}

x = \frac{14673289}{3267}, x = - \frac{14673289}{3267}

Verify Solutions:

x = \frac{14673289}{3267}

True

, x = - \frac{14673289}{3267}

True

The solutions are

x = \frac{14673289}{3267}, x = - \frac{14673289}{3267}

5 x + 6 + x + 2 = 2

x^{3} - 6 x^{2} + 9 x = x

2 - x - 3 x + 1 = - 1

- 6 - x + x = 0

x + - x = 4

What is the answer to 3.267= 2/(sqrt(x^2-1)) ?
The answer to 3.267= 2/(sqrt(x^2-1)) is x=(sqrt(14673289))/(3267),x=-(sqrt(14673289))/(3267)
Solve for x: 3.267= 2/(sqrt(x^2-1))
The solution is x=(sqrt(14673289))/(3267),x=-(sqrt(14673289))/(3267)