What is the answer to 10-1/t = 9/(t^2) ?

The answer to 10-1/t = 9/(t^2) is t=1,t=-9/10

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10-1/t = 9/(t^2)

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

t = 1, t = - \frac{9}{10}

Decimal Notation

t = 1, t = - 0.9

Solution steps

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

Multiply by LCM

10 t^{2} - t = 9

Solve

10 t^{2} - t = 9 : t = 1, t = - \frac{9}{10}

t = 1, t = - \frac{9}{10}

Verify Solutions

Find undefined (singularity) points:

t = 0

Combine undefined points with solutions:

t = 1, t = - \frac{9}{10}

\frac{6}{9} = \frac{12}{x}

\frac{x + 4}{x - 2} = \frac{3}{7}

\frac{2}{x + 1} + \frac{x - 3}{x} = 3

b, a = \frac{a}{b} + c

\frac{1}{x + 3} = \frac{x}{x + 2}

What is the answer to 10-1/t = 9/(t^2) ?
The answer to 10-1/t = 9/(t^2) is t=1,t=-9/10
Solve for t: 10-1/t = 9/(t^2)
The solution is t=1,t=-9/10