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

The answer to x/3+3/x = 41/4 is x=(123+21sqrt(33))/8 ,x=(123-21sqrt(33))/8

Solve for x: x/3+3/x = 41/4

The solution is x=(123+21sqrt(33))/8 ,x=(123-21sqrt(33))/8

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\frac{x}{3} + \frac{3}{x} = \frac{41}{4}

x = \frac{123 + 21 33}{8}, x = \frac{123 - 21 33}{8}

Decimal Notation

x = 30.45447 \dots, x = 0.29552 \dots

Solution steps

\frac{x}{3} + \frac{3}{x} = \frac{41}{4}

Multiply by LCM

4 x^{2} + 36 = 123 x

Solve

4 x^{2} + 36 = 123 x : x = \frac{123 + 21 33}{8}, x = \frac{123 - 21 33}{8}

x = \frac{123 + 21 33}{8}, x = \frac{123 - 21 33}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{123 + 21 33}{8}, x = \frac{123 - 21 33}{8}

\frac{( x ^{2} - 2 x ) ( 2 x - 2 ) - 9 ( 2 x - 2 )}{( x ^{2} - 2 x )} = 0

x, \frac{4}{x} - \frac{5}{y} = 2

\frac{51}{2 - 3 x} = \frac{4}{3}

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

100 - x = \frac{98.2818 - 10}{11 x}

What is the answer to x/3+3/x = 41/4 ?
The answer to x/3+3/x = 41/4 is x=(123+21sqrt(33))/8 ,x=(123-21sqrt(33))/8
Solve for x: x/3+3/x = 41/4
The solution is x=(123+21sqrt(33))/8 ,x=(123-21sqrt(33))/8