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

The answer to 5/x-2= x/3 is x=-3+2sqrt(6),x=-3-2sqrt(6)

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

The solution is x=-3+2sqrt(6),x=-3-2sqrt(6)

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

x = - 3 + 26, x = - 3 - 26

Decimal Notation

x = 1.89897 \dots, x = - 7.89897 \dots

Solution steps

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

Multiply by LCM

15 - 6 x = x^{2}

Solve

15 - 6 x = x^{2} : x = - 3 + 26, x = - 3 - 26

x = - 3 + 26, x = - 3 - 26

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 3 + 26, x = - 3 - 26

\frac{2}{x + 4} = \frac{3}{x}

- 2 = \frac{1}{x}

\frac{9 x}{36 x} = x^{2}

\frac{2 x - 7}{x} = \frac{x - 4}{3}

\frac{60}{f} = 12

What is the answer to 5/x-2= x/3 ?
The answer to 5/x-2= x/3 is x=-3+2sqrt(6),x=-3-2sqrt(6)
Solve for x: 5/x-2= x/3
The solution is x=-3+2sqrt(6),x=-3-2sqrt(6)