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

The answer to 5/x-3/(2x)= x/2 is x=sqrt(7),x=-sqrt(7)

Solve for x: 5/x-3/(2x)= x/2

The solution is x=sqrt(7),x=-sqrt(7)

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

x = 7, x = - 7

Decimal

x = 2.64575 \dots, x = - 2.64575 \dots

Solution steps

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

Multiply by LCM

7 = x^{2}

Solve

7 = x^{2} : x = 7, x = - 7

x = 7, x = - 7

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 7, x = - 7

\frac{1}{x + 7} + 1 = - \frac{x}{x + 7}

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

- \frac{9}{x} + 2 x = - 7

0 = 1 - \frac{2 \cdot 1}{x}

x + \frac{9}{x} = - 10

What is the answer to 5/x-3/(2x)= x/2 ?
The answer to 5/x-3/(2x)= x/2 is x=sqrt(7),x=-sqrt(7)
Solve for x: 5/x-3/(2x)= x/2
The solution is x=sqrt(7),x=-sqrt(7)