What is the answer to 8-1/t = 7/(t^2) ?

The answer to 8-1/t = 7/(t^2) is t=1,t=-7/8

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8-1/t = 7/(t^2)

8 - \frac{1}{t} = \frac{7}{t ^{2}}

t = 1, t = - \frac{7}{8}

Decimal Notation

t = 1, t = - 0.875

Solution steps

8 - \frac{1}{t} = \frac{7}{t ^{2}}

Multiply by LCM

8 t^{2} - t = 7

Solve

8 t^{2} - t = 7 : t = 1, t = - \frac{7}{8}

t = 1, t = - \frac{7}{8}

Verify Solutions

Find undefined (singularity) points:

t = 0

Combine undefined points with solutions:

t = 1, t = - \frac{7}{8}

- 1.645 = \frac{( 15 - 12 )}{x}

k = \frac{5}{9 ( f - 32 ) + 273.15}

1 + \frac{9 x}{x - 6} = \frac{4}{x - 6}

\frac{4}{w} + 3 = 5

\frac{1}{x} = - 4

What is the answer to 8-1/t = 7/(t^2) ?
The answer to 8-1/t = 7/(t^2) is t=1,t=-7/8
Solve for t: 8-1/t = 7/(t^2)
The solution is t=1,t=-7/8