What is the answer to x+3/x-2-1-x/x = 41/4 ?

The answer to x+3/x-2-1-x/x = 41/4 is x=(57+sqrt(3057))/8 ,x=(57-sqrt(3057))/8

Solve for x: x+3/x-2-1-x/x = 41/4

The solution is x=(57+sqrt(3057))/8 ,x=(57-sqrt(3057))/8

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x + \frac{3}{x} - 2 - 1 - \frac{x}{x} = \frac{41}{4}

x = \frac{57 + 3057}{8}, x = \frac{57 - 3057}{8}

Decimal Notation

x = 14.03626 \dots, x = 0.21373 \dots

Solution steps

x + \frac{3}{x} - 2 - 1 - \frac{x}{x} = \frac{41}{4}

Multiply by LCM

4 x^{2} + 12 - 16 x = 41 x

Solve

4 x^{2} + 12 - 16 x = 41 x : x = \frac{57 + 3057}{8}, x = \frac{57 - 3057}{8}

x = \frac{57 + 3057}{8}, x = \frac{57 - 3057}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{57 + 3057}{8}, x = \frac{57 - 3057}{8}

\frac{3}{4 \cdot x ^{2} - 8 x + 3} = 0

2 (\frac{x ^{2} + 1}{x ^{2}}) + 5 (\frac{x + 1}{x}) + 1 = 0

\frac{( 2 x - 1 )}{3 + x} = \frac{( 2 x + 6 )}{5}

\frac{ln ( e ) ( \frac{1}{2} ) + 1}{y} = 1

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

What is the answer to x+3/x-2-1-x/x = 41/4 ?
The answer to x+3/x-2-1-x/x = 41/4 is x=(57+sqrt(3057))/8 ,x=(57-sqrt(3057))/8
Solve for x: x+3/x-2-1-x/x = 41/4
The solution is x=(57+sqrt(3057))/8 ,x=(57-sqrt(3057))/8