What is the answer to 7-1/t = 6/(t^2) ?

The answer to 7-1/t = 6/(t^2) is t=1,t=-6/7

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7-1/t = 6/(t^2)

7 - \frac{1}{t} = \frac{6}{t ^{2}}

t = 1, t = - \frac{6}{7}

Decimal Notation

t = 1, t = - 0.85714 \dots

Solution steps

7 - \frac{1}{t} = \frac{6}{t ^{2}}

Multiply by LCM

7 t^{2} - t = 6

Solve

7 t^{2} - t = 6 : t = 1, t = - \frac{6}{7}

t = 1, t = - \frac{6}{7}

Verify Solutions

Find undefined (singularity) points:

t = 0

Combine undefined points with solutions:

t = 1, t = - \frac{6}{7}

\frac{x + 2}{x + 1} = \frac{3}{5}

2 x = \frac{3 x ^{2} - 16}{x}

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

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

\frac{4}{3 x - 2} = \frac{6}{2 x + 1}

What is the answer to 7-1/t = 6/(t^2) ?
The answer to 7-1/t = 6/(t^2) is t=1,t=-6/7
Solve for t: 7-1/t = 6/(t^2)
The solution is t=1,t=-6/7