What is the answer to 2x-6/x =(3+x)/4-6 ?

The answer to 2x-6/x =(3+x)/4-6 is x=(-21+sqrt(1113))/(14),x=(-21-sqrt(1113))/(14)

Solve for x: 2x-6/x =(3+x)/4-6

The solution is x=(-21+sqrt(1113))/(14),x=(-21-sqrt(1113))/(14)

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2 x - \frac{6}{x} = \frac{3 + x}{4} - 6

x = \frac{- 21 + 1113}{14}, x = \frac{- 21 - 1113}{14}

Decimal Notation

x = 0.88297 \dots, x = - 3.88297 \dots

Solution steps

2 x - \frac{6}{x} = \frac{3 + x}{4} - 6

Multiply by LCM

8 x^{2} - 24 = x (3 + x) - 24 x

Solve

8 x^{2} - 24 = x (3 + x) - 24 x : x = \frac{- 21 + 1113}{14}, x = \frac{- 21 - 1113}{14}

x = \frac{- 21 + 1113}{14}, x = \frac{- 21 - 1113}{14}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{- 21 + 1113}{14}, x = \frac{- 21 - 1113}{14}

\frac{7}{6} = \frac{2}{k}

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

\frac{4 x}{x - 8} + 1 = \frac{2}{x - 8}

\frac{10}{9} = \frac{3}{Q}

x + \frac{2}{x} = \frac{1}{a} + 2 a

What is the answer to 2x-6/x =(3+x)/4-6 ?
The answer to 2x-6/x =(3+x)/4-6 is x=(-21+sqrt(1113))/(14),x=(-21-sqrt(1113))/(14)
Solve for x: 2x-6/x =(3+x)/4-6
The solution is x=(-21+sqrt(1113))/(14),x=(-21-sqrt(1113))/(14)