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

The answer to 2x-(2+3x)/4 = 2/x is x=(1+sqrt(41))/5 ,x=(1-sqrt(41))/5

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

The solution is x=(1+sqrt(41))/5 ,x=(1-sqrt(41))/5

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

x = \frac{1 + 41}{5}, x = \frac{1 - 41}{5}

Decimal Notation

x = 1.48062 \dots, x = - 1.08062 \dots

Solution steps

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

Multiply by LCM

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

Solve

8 x^{2} - x (2 + 3 x) = 8 : x = \frac{1 + 41}{5}, x = \frac{1 - 41}{5}

x = \frac{1 + 41}{5}, x = \frac{1 - 41}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1 + 41}{5}, x = \frac{1 - 41}{5}

1 0^{- 9.89} = \frac{x ^{2}}{0.1 - x}

\frac{9}{7} = \frac{3}{x + 2}

\frac{a + 4}{3 a} = 7 + \frac{1}{a}

\frac{A x + B}{x} = \frac{C x}{D}

\frac{z + 22}{z} = 12

What is the answer to 2x-(2+3x)/4 = 2/x ?
The answer to 2x-(2+3x)/4 = 2/x is x=(1+sqrt(41))/5 ,x=(1-sqrt(41))/5
Solve for x: 2x-(2+3x)/4 = 2/x
The solution is x=(1+sqrt(41))/5 ,x=(1-sqrt(41))/5