What is the answer to 1-1/(x^2)= 4/5 ?

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

Solve for x: 1-1/(x^2)= 4/5

The solution is x=sqrt(5),x=-sqrt(5)

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1 - \frac{1}{x ^{2}} = \frac{4}{5}

x = 5, x = - 5

Decimal Notation

x = 2.23606 \dots, x = - 2.23606 \dots

Solution steps

1 - \frac{1}{x ^{2}} = \frac{4}{5}

Multiply by LCM

5 x^{2} - 5 = 4 x^{2}

Solve

5 x^{2} - 5 = 4 x^{2} : x = 5, x = - 5

x = 5, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5, x = - 5

t, t + 3 + \frac{3}{t} = 0

0 = \frac{x - 1}{x - 2}

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

3 - \frac{2}{9 b} = \frac{1}{3 b} - 7

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

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