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

The answer to (x^2-2)/(3x)= 3/5 is x=(9+sqrt(281))/(10),x=(9-sqrt(281))/(10)

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

The solution is x=(9+sqrt(281))/(10),x=(9-sqrt(281))/(10)

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

x = \frac{9 + 281}{10}, x = \frac{9 - 281}{10}

Solution steps

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

Cross multiply

(x^{2} - 2) \cdot 5 = 9 x

Solve

(x^{2} - 2) \cdot 5 = 9 x : x = \frac{9 + 281}{10}, x = \frac{9 - 281}{10}

x = \frac{9 + 281}{10}, x = \frac{9 - 281}{10}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9 + 281}{10}, x = \frac{9 - 281}{10}

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

10 - \frac{1}{t} = \frac{9}{t ^{2}}

\frac{6}{9} = \frac{12}{x}

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

\frac{2}{x + 1} + \frac{x - 3}{x} = 3

What is the answer to (x^2-2)/(3x)= 3/5 ?
The answer to (x^2-2)/(3x)= 3/5 is x=(9+sqrt(281))/(10),x=(9-sqrt(281))/(10)
Solve for x: (x^2-2)/(3x)= 3/5
The solution is x=(9+sqrt(281))/(10),x=(9-sqrt(281))/(10)