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

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

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

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

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

Decimal

x = - 0.33333 \dots, x = 1

Solution steps

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

Multiply by LCM

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

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

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

x^{- 2} = 49

\frac{- 8}{y} + 2 y = - 6

2 + \frac{4}{x ^{3}} = 0

\frac{x}{100 - x} = 0.19526, x

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