What is the answer to 5x= 3/x-11/2 ?

The answer to 5x= 3/x-11/2 is x= 2/5 ,x=-3/2

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5x= 3/x-11/2

5 x = \frac{3}{x} - \frac{11}{2}

x = \frac{2}{5}, x = - \frac{3}{2}

Decimal Notation

x = 0.4, x = - 1.5

Solution steps

5 x = \frac{3}{x} - \frac{11}{2}

Multiply by LCM

10 x^{2} = 6 - 11 x

Solve

10 x^{2} = 6 - 11 x : x = \frac{2}{5}, x = - \frac{3}{2}

x = \frac{2}{5}, x = - \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{2}{5}, x = - \frac{3}{2}

\frac{5}{x + 4} + \frac{x}{x - 2} = 1

24 = \frac{5}{x}

108 = \frac{38.8}{1 + 12 x} \cdot 4

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

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

What is the answer to 5x= 3/x-11/2 ?
The answer to 5x= 3/x-11/2 is x= 2/5 ,x=-3/2
Solve for x: 5x= 3/x-11/2
The solution is x= 2/5 ,x=-3/2