What is the answer to 3x-5= 4/x ?

The answer to 3x-5= 4/x is x=(5+sqrt(73))/6 ,x=(5-sqrt(73))/6

Solve for x: 3x-5= 4/x

The solution is x=(5+sqrt(73))/6 ,x=(5-sqrt(73))/6

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3 x - 5 = \frac{4}{x}

x = \frac{5 + 73}{6}, x = \frac{5 - 73}{6}

Decimal Notation

x = 2.25733 \dots, x = - 0.59066 \dots

Solution steps

3 x - 5 = \frac{4}{x}

Multiply both sides by

x

3 x^{2} - 5 x = 4

Solve

3 x^{2} - 5 x = 4 : x = \frac{5 + 73}{6}, x = \frac{5 - 73}{6}

x = \frac{5 + 73}{6}, x = \frac{5 - 73}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5 + 73}{6}, x = \frac{5 - 73}{6}

k, z = \frac{k + 3}{k + 6}

c = \frac{9 t + 5}{t}, t

1.5 = \frac{0.693 \cdot 140}{x}

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

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

What is the answer to 3x-5= 4/x ?
The answer to 3x-5= 4/x is x=(5+sqrt(73))/6 ,x=(5-sqrt(73))/6
Solve for x: 3x-5= 4/x
The solution is x=(5+sqrt(73))/6 ,x=(5-sqrt(73))/6