What is the answer to 1/(x^2)+4/x-12=0 ?

The answer to 1/(x^2)+4/x-12=0 is x=-1/6 ,x= 1/2

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1/(x^2)+4/x-12=0

\frac{1}{x ^{2}} + \frac{4}{x} - 12 = 0

x = - \frac{1}{6}, x = \frac{1}{2}

Decimal

x = - 0.16666 \dots, x = 0.5

Solution steps

\frac{1}{x ^{2}} + \frac{4}{x} - 12 = 0

Multiply by LCM

1 + 4 x - 12 x^{2} = 0

Solve

1 + 4 x - 12 x^{2} = 0 : x = - \frac{1}{6}, x = \frac{1}{2}

x = - \frac{1}{6}, x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{6}, x = \frac{1}{2}

1 - \frac{7}{x - 9} = \frac{3 x}{x - 9}

\frac{x ^{2} - 1}{x ^{2} - 2 x + 1} = 0

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

\frac{3}{x} = 3

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

What is the answer to 1/(x^2)+4/x-12=0 ?
The answer to 1/(x^2)+4/x-12=0 is x=-1/6 ,x= 1/2
Solve for x: 1/(x^2)+4/x-12=0
The solution is x=-1/6 ,x= 1/2