What is the answer to 1000= 1/(x^2-1) ?

The answer to 1000= 1/(x^2-1) is x=(sqrt(1001))/(10sqrt(10)),x=-(sqrt(1001))/(10sqrt(10))

Solve for x: 1000= 1/(x^2-1)

The solution is x=(sqrt(1001))/(10sqrt(10)),x=-(sqrt(1001))/(10sqrt(10))

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1000 = \frac{1}{x ^{2} - 1}

x = \frac{1001}{10 10}, x = - \frac{1001}{10 10}

Decimal Notation

x = 1.00049 \dots, x = - 1.00049 \dots

Solution steps

1000 = \frac{1}{x ^{2} - 1}

Multiply both sides by

x^{2} - 1

1000 (x^{2} - 1) = 1

Solve

1000 (x^{2} - 1) = 1 : x = \frac{1001}{10 10}, x = - \frac{1001}{10 10}

x = \frac{1001}{10 10}, x = - \frac{1001}{10 10}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x = \frac{1001}{10 10}, x = - \frac{1001}{10 10}

\frac{360}{40 + A} = \frac{6}{1}

\frac{6 x ^{3} - 1}{2 x ^{2} + x - 1} = 0

\frac{4}{x} - \frac{2}{3 x} = 20

\frac{600}{x} - 45 x = 3 (4 - 15 x)

\frac{1}{x - 1} + 4 = \frac{17}{x - 1}

What is the answer to 1000= 1/(x^2-1) ?
The answer to 1000= 1/(x^2-1) is x=(sqrt(1001))/(10sqrt(10)),x=-(sqrt(1001))/(10sqrt(10))
Solve for x: 1000= 1/(x^2-1)
The solution is x=(sqrt(1001))/(10sqrt(10)),x=-(sqrt(1001))/(10sqrt(10))