What is the answer to 3.067=(1.85)/v+(v^2)/2*9.81 ?

The answer to 3.067=(1.85)/v+(v^2)/2*9.81 is v\approx-1.00102…

Solve for v: 3.067=(1.85)/v+(v^2)/2*9.81

The solution is v\approx-1.00102…

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3.067 = \frac{1.85}{v} + \frac{v ^{2}}{2} \cdot 9.81

v \approx - 1.00102 \dots

Solution steps

3.067 = \frac{1.85}{v} + \frac{v ^{2}}{2} \cdot 9.81

Multiply both sides by

1000

3067 = \frac{1850}{v} + 4905 v^{2}

Multiply both sides by

v

3067 v = 1850 + 4905 v^{3}

Solve

3067 v = 1850 + 4905 v^{3} : v \approx - 1.00102 \dots

v \approx - 1.00102 \dots

Verify Solutions

Find undefined (singularity) points:

v = 0

Combine undefined points with solutions:

v \approx - 1.00102 \dots

10 x^{- 2} - 9 - x^{- 4} = 0

\frac{250}{200} = \frac{62.5}{x}

\frac{11.9}{x} = 3.14

\frac{x ^{3} - 1}{8 x} = 0

\frac{21}{3 x - 7} = 25

What is the answer to 3.067=(1.85)/v+(v^2)/2*9.81 ?
The answer to 3.067=(1.85)/v+(v^2)/2*9.81 is v\approx-1.00102…
Solve for v: 3.067=(1.85)/v+(v^2)/2*9.81
The solution is v\approx-1.00102…