What is the answer to 1-1/(k^2)=0.84 ?

The answer to 1-1/(k^2)=0.84 is k= 5/2 ,k=-5/2

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1-1/(k^2)=0.84

1 - \frac{1}{k ^{2}} = 0.84

k = \frac{5}{2}, k = - \frac{5}{2}

Solution steps

1 - \frac{1}{k ^{2}} = 0.84

Move

1

to the right side

- \frac{1}{k ^{2}} = - 0.16

Multiply both sides by

k^{2}

- 1 = - 0.16 k^{2}

Solve

- 1 = - 0.16 k^{2} : k = \frac{5}{2}, k = - \frac{5}{2}

k = \frac{5}{2}, k = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

k = 0

Combine undefined points with solutions:

k = \frac{5}{2}, k = - \frac{5}{2}

\frac{1}{5 x + 2} = 8

\frac{x + 5}{5} = \frac{6}{x - 2}

x, \frac{c}{x} = r + d

\frac{3}{10} + \frac{3}{2 x - 4} = 0

\frac{4 x - 8}{x} = 12

What is the answer to 1-1/(k^2)=0.84 ?
The answer to 1-1/(k^2)=0.84 is k= 5/2 ,k=-5/2
Solve for k: 1-1/(k^2)=0.84
The solution is k= 5/2 ,k=-5/2