What is the answer to 7x^{-2}+3x-10=0 ?

The answer to 7x^{-2}+3x-10=0 is x=1,x=(7+sqrt(133))/6 ,x=(7-sqrt(133))/6

Solve for x: 7x^{-2}+3x-10=0

The solution is x=1,x=(7+sqrt(133))/6 ,x=(7-sqrt(133))/6

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

x = 1, x = \frac{7 + 133}{6}, x = \frac{7 - 133}{6}

Solution steps

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

Refine

\frac{7}{x ^{2}} + 3 x - 10 = 0

Multiply both sides by

x^{2}

7 + 3 x^{3} - 10 x^{2} = 0

Solve

7 + 3 x^{3} - 10 x^{2} = 0 : x = 1, x = \frac{7 + 133}{6}, x = \frac{7 - 133}{6}

x = 1, x = \frac{7 + 133}{6}, x = \frac{7 - 133}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = \frac{7 + 133}{6}, x = \frac{7 - 133}{6}

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

\frac{18 - 7 x}{x} = x

162 = \frac{180 ( n - 2 )}{n}

\frac{8}{4 y - 8} - 1 = \frac{2}{y - 2}

- 1 = \frac{- 1}{( x + 1 ) ^{2}}

What is the answer to 7x^{-2}+3x-10=0 ?
The answer to 7x^{-2}+3x-10=0 is x=1,x=(7+sqrt(133))/6 ,x=(7-sqrt(133))/6
Solve for x: 7x^{-2}+3x-10=0
The solution is x=1,x=(7+sqrt(133))/6 ,x=(7-sqrt(133))/6