What is the answer to 6/5 x-(3x)/4 =(16)/x ?

The answer to 6/5 x-(3x)/4 =(16)/x is x=(8sqrt(5))/3 ,x=-(8sqrt(5))/3

Solve for x: 6/5 x-(3x)/4 =(16)/x

The solution is x=(8sqrt(5))/3 ,x=-(8sqrt(5))/3

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\frac{6}{5} x - \frac{3 x}{4} = \frac{16}{x}

x = \frac{8 5}{3}, x = - \frac{8 5}{3}

Decimal

x = 5.96284 \dots, x = - 5.96284 \dots

Solution steps

\frac{6}{5} x - \frac{3 x}{4} = \frac{16}{x}

Multiply by LCM

9 x^{2} = 320

Solve

9 x^{2} = 320 : x = \frac{8 5}{3}, x = - \frac{8 5}{3}

x = \frac{8 5}{3}, x = - \frac{8 5}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{8 5}{3}, x = - \frac{8 5}{3}

x^{2} = \frac{2}{x ^{2} + 1}

d, \frac{p}{d + b} = \frac{g}{d}

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

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

\frac{2}{3 x} = \frac{1}{9}

What is the answer to 6/5 x-(3x)/4 =(16)/x ?
The answer to 6/5 x-(3x)/4 =(16)/x is x=(8sqrt(5))/3 ,x=-(8sqrt(5))/3
Solve for x: 6/5 x-(3x)/4 =(16)/x
The solution is x=(8sqrt(5))/3 ,x=-(8sqrt(5))/3