What is the answer to y+7/2 = 2/y ?

The answer to y+7/2 = 2/y is y= 1/2 ,y=-4

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y+7/2 = 2/y

y + \frac{7}{2} = \frac{2}{y}

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

Decimal Notation

y = 0.5, y = - 4

Solution steps

y + \frac{7}{2} = \frac{2}{y}

Multiply both sides by

y

y^{2} + \frac{7}{2} y = 2

Solve

y^{2} + \frac{7}{2} y = 2 : y = \frac{1}{2}, y = - 4

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

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

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

\frac{10}{x} = 20

- \frac{1 - s}{( 1 - s ) ^{2} + 1} = 0

\frac{24}{32} = \frac{15}{x}

x - 3 + \frac{1}{x - 2} = 1

\frac{6}{x} - \frac{8}{x + 2} = 1