What is the answer to 6/x-1+3/x+1=(28)/(x^2)-1 ?

The answer to 6/x-1+3/x+1=(28)/(x^2)-1 is x=(-9+sqrt(193))/2 ,x=(-9-sqrt(193))/2

Solve for x: 6/x-1+3/x+1=(28)/(x^2)-1

The solution is x=(-9+sqrt(193))/2 ,x=(-9-sqrt(193))/2

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\frac{6}{x} - 1 + \frac{3}{x} + 1 = \frac{28}{x ^{2}} - 1

x = \frac{- 9 + 193}{2}, x = \frac{- 9 - 193}{2}

Decimal Notation

x = 2.44622 \dots, x = - 11.44622 \dots

Solution steps

\frac{6}{x} - 1 + \frac{3}{x} + 1 = \frac{28}{x ^{2}} - 1

Multiply by LCM

9 x + x^{2} = 28

Solve

9 x + x^{2} = 28 : x = \frac{- 9 + 193}{2}, x = \frac{- 9 - 193}{2}

x = \frac{- 9 + 193}{2}, x = \frac{- 9 - 193}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{- 9 + 193}{2}, x = \frac{- 9 - 193}{2}

a, b = \frac{r}{( 2 ( a + r ) )}

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

\frac{x ^{2} + 1}{x ^{2}} = \frac{x ^{4} + 1}{x ^{4}}

\frac{1}{m} + n + x = \frac{1}{m} + \frac{1}{n} + \frac{1}{x}

a^{- m} = \frac{1}{a ^{m}}

What is the answer to 6/x-1+3/x+1=(28)/(x^2)-1 ?
The answer to 6/x-1+3/x+1=(28)/(x^2)-1 is x=(-9+sqrt(193))/2 ,x=(-9-sqrt(193))/2
Solve for x: 6/x-1+3/x+1=(28)/(x^2)-1
The solution is x=(-9+sqrt(193))/2 ,x=(-9-sqrt(193))/2