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

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

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x+2/x = 9/2

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

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

Decimal Notation

x = 4, x = 0.5

Solution steps

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

Multiply by LCM

2 x^{2} + 4 = 9 x

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{9}{k ^{3}} = \frac{3}{5}

(\frac{a - 2}{3 a}) + 35 = 50

3 \cdot \frac{x}{x + 2200} = 0.8

1 + 0.1 = (1 - x)^{- 1}

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