What is the answer to 3-1/t = 2/(t^2) ?

The answer to 3-1/t = 2/(t^2) is t=1,t=-2/3

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3-1/t = 2/(t^2)

3 - \frac{1}{t} = \frac{2}{t ^{2}}

t = 1, t = - \frac{2}{3}

Decimal Notation

t = 1, t = - 0.66666 \dots

Solution steps

3 - \frac{1}{t} = \frac{2}{t ^{2}}

Multiply by LCM

3 t^{2} - t = 2

Solve

3 t^{2} - t = 2 : t = 1, t = - \frac{2}{3}

t = 1, t = - \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

t = 0

Combine undefined points with solutions:

t = 1, t = - \frac{2}{3}

\frac{3}{x} + 6 = - 8

\frac{25}{x} = \frac{1}{4}

\frac{11 x - 33}{x - 3} = x

\frac{4}{3} = \frac{1}{x}

\frac{2.25}{x} = \frac{x}{1.68}

What is the answer to 3-1/t = 2/(t^2) ?
The answer to 3-1/t = 2/(t^2) is t=1,t=-2/3
Solve for t: 3-1/t = 2/(t^2)
The solution is t=1,t=-2/3