What is the answer to 15x=(10)/x+12 ?

The answer to 15x=(10)/x+12 is x=(6+sqrt(186))/(15),x=(6-sqrt(186))/(15)

Solve for x: 15x=(10)/x+12

The solution is x=(6+sqrt(186))/(15),x=(6-sqrt(186))/(15)

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15 x = \frac{10}{x} + 12

x = \frac{6 + 186}{15}, x = \frac{6 - 186}{15}

Decimal Notation

x = 1.30921 \dots, x = - 0.50921 \dots

Solution steps

15 x = \frac{10}{x} + 12

Multiply both sides by

x

15 x^{2} = 10 + 12 x

Solve

15 x^{2} = 10 + 12 x : x = \frac{6 + 186}{15}, x = \frac{6 - 186}{15}

x = \frac{6 + 186}{15}, x = \frac{6 - 186}{15}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{6 + 186}{15}, x = \frac{6 - 186}{15}

\frac{y + 4.5}{y} = \frac{28}{10}

\frac{3}{x - 2} + \frac{8}{x + 3} = 2

\frac{5}{p + 5} = - 10

\frac{2}{x} = - 3

(x - 3)^{2} = \frac{1}{( x - 3 ) ^{2}}

What is the answer to 15x=(10)/x+12 ?
The answer to 15x=(10)/x+12 is x=(6+sqrt(186))/(15),x=(6-sqrt(186))/(15)
Solve for x: 15x=(10)/x+12
The solution is x=(6+sqrt(186))/(15),x=(6-sqrt(186))/(15)