What is the answer to y+2/y = 9/2 ?

The answer to y+2/y = 9/2 is y=4,y= 1/2

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y+2/y = 9/2

y + \frac{2}{y} = \frac{9}{2}

y = 4, y = \frac{1}{2}

Decimal Notation

y = 4, y = 0.5

Solution steps

y + \frac{2}{y} = \frac{9}{2}

Multiply by LCM

2 y^{2} + 4 = 9 y

Solve

2 y^{2} + 4 = 9 y : y = 4, y = \frac{1}{2}

y = 4, y = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = 4, y = \frac{1}{2}

\frac{x ( x - 5 )}{x ^{2} - 9} = 1

10 + \frac{4}{y ^{2}} = 1

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

1 - \frac{3}{x} = \frac{10}{x ^{2}}

\frac{30}{j} = \frac{26}{39}