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

The answer to 4x-5= 3/x is x=(5+sqrt(73))/8 ,x=(5-sqrt(73))/8

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

The solution is x=(5+sqrt(73))/8 ,x=(5-sqrt(73))/8

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

x = \frac{5 + 73}{8}, x = \frac{5 - 73}{8}

Decimal Notation

x = 1.69300 \dots, x = - 0.44300 \dots

Solution steps

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

Multiply both sides by

x

4 x^{2} - 5 x = 3

Solve

4 x^{2} - 5 x = 3 : x = \frac{5 + 73}{8}, x = \frac{5 - 73}{8}

x = \frac{5 + 73}{8}, x = \frac{5 - 73}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5 + 73}{8}, x = \frac{5 - 73}{8}

\frac{1}{9} = \frac{10}{x}

8 = \frac{4}{x}

\frac{3 x}{x + 3} = 8 - \frac{9}{x + 3}

\frac{4 x}{x - 2} + \frac{2}{x} = 5

\frac{1}{x} = - 1

What is the answer to 4x-5= 3/x ?
The answer to 4x-5= 3/x is x=(5+sqrt(73))/8 ,x=(5-sqrt(73))/8
Solve for x: 4x-5= 3/x
The solution is x=(5+sqrt(73))/8 ,x=(5-sqrt(73))/8