What is the answer to 9-1/t = 8/(t^2) ?

The answer to 9-1/t = 8/(t^2) is t=1,t=-8/9

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9-1/t = 8/(t^2)

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

t = 1, t = - \frac{8}{9}

Decimal Notation

t = 1, t = - 0.88888 \dots

Solution steps

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

Multiply by LCM

9 t^{2} - t = 8

Solve

9 t^{2} - t = 8 : t = 1, t = - \frac{8}{9}

t = 1, t = - \frac{8}{9}

Verify Solutions

Find undefined (singularity) points:

t = 0

Combine undefined points with solutions:

t = 1, t = - \frac{8}{9}

0 = \frac{x ^{2} - 2 x}{( x - 1 ) ^{2}}

\frac{4}{h} = \frac{h}{36}

\frac{x}{x - 3} = 1

\frac{1}{x} + \frac{4}{x - 8} = 0

\frac{5}{1 - 3 x} = 2021

What is the answer to 9-1/t = 8/(t^2) ?
The answer to 9-1/t = 8/(t^2) is t=1,t=-8/9
Solve for t: 9-1/t = 8/(t^2)
The solution is t=1,t=-8/9