What is the answer to 1/(x^2)+3/x-10=0 ?

The answer to 1/(x^2)+3/x-10=0 is x=-1/5 ,x= 1/2

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1/(x^2)+3/x-10=0

\frac{1}{x ^{2}} + \frac{3}{x} - 10 = 0

x = - \frac{1}{5}, x = \frac{1}{2}

Decimal Notation

x = - 0.2, x = 0.5

Solution steps

\frac{1}{x ^{2}} + \frac{3}{x} - 10 = 0

Multiply by LCM

1 + 3 x - 10 x^{2} = 0

Solve

1 + 3 x - 10 x^{2} = 0 : x = - \frac{1}{5}, x = \frac{1}{2}

x = - \frac{1}{5}, x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{5}, x = \frac{1}{2}

\frac{50}{x + 5} = \frac{x}{10} + 4.5

\frac{2}{x} + \frac{x + 6}{4} = 0

\frac{10000}{x} = 9

\frac{4}{x} + \frac{5}{x + 3} = 3

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

What is the answer to 1/(x^2)+3/x-10=0 ?
The answer to 1/(x^2)+3/x-10=0 is x=-1/5 ,x= 1/2
Solve for x: 1/(x^2)+3/x-10=0
The solution is x=-1/5 ,x= 1/2