What is the answer to y/4 = 9/y ?

The answer to y/4 = 9/y is y=6,y=-6

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y/4 = 9/y

\frac{y}{4} = \frac{9}{y}

y = 6, y = - 6

Solution steps

\frac{y}{4} = \frac{9}{y}

Cross multiply

y^{2} = 36

Solve

y^{2} = 36 : y = 6, y = - 6

y = 6, y = - 6

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = 6, y = - 6

\frac{b}{a x - 1} - \frac{a}{b x - 1} = 0

6 (1 - x^{2})^{- 1} + 3 (1 - x)^{- 1} = 5 (x + 1)^{- 1}

\frac{3}{5} + \frac{7}{6 x} = \frac{1}{8 x}

\frac{1}{x} = \frac{2}{5 x} - \frac{6}{5}

x = \frac{25}{x}