What is the answer to 2/t-(3t)/2 =7 ?

The answer to 2/t-(3t)/2 =7 is t=-(7+sqrt(61))/3 ,t=(sqrt(61)-7)/3

Solve for t: 2/t-(3t)/2 =7

The solution is t=-(7+sqrt(61))/3 ,t=(sqrt(61)-7)/3

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\frac{2}{t} - \frac{3 t}{2} = 7

t = - \frac{7 + 61}{3}, t = \frac{61 - 7}{3}

Solution steps

\frac{2}{t} - \frac{3 t}{2} = 7

Multiply by LCM

4 - 3 t^{2} = 14 t

Solve

4 - 3 t^{2} = 14 t : t = - \frac{7 + 61}{3}, t = \frac{61 - 7}{3}

t = - \frac{7 + 61}{3}, t = \frac{61 - 7}{3}

Verify Solutions

Find undefined (singularity) points:

t = 0

Combine undefined points with solutions:

t = - \frac{7 + 61}{3}, t = \frac{61 - 7}{3}

\frac{16}{x} = 0

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

\frac{40}{q} = 10

\frac{t ^{2} + 2 t + 1}{t + 1} = 4

x^{- 3} = 27

What is the answer to 2/t-(3t)/2 =7 ?
The answer to 2/t-(3t)/2 =7 is t=-(7+sqrt(61))/3 ,t=(sqrt(61)-7)/3
Solve for t: 2/t-(3t)/2 =7
The solution is t=-(7+sqrt(61))/3 ,t=(sqrt(61)-7)/3