What is the answer to x/3-1= 6/x ?

The answer to x/3-1= 6/x is x=6,x=-3

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x/3-1= 6/x

\frac{x}{3} - 1 = \frac{6}{x}

x = 6, x = - 3

Solution steps

\frac{x}{3} - 1 = \frac{6}{x}

Multiply by LCM

x^{2} - 3 x = 18

Solve

x^{2} - 3 x = 18 : x = 6, x = - 3

x = 6, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6, x = - 3

\frac{3}{x} = 5

\frac{1}{x} + x = 4

m, p = \frac{RT}{mV}

y, x = \frac{y - 3}{y + 2}

x - 7 = \frac{30}{x}