What is the answer to 1/x-1/45 = 1/(2x-3) ?

The answer to 1/x-1/45 = 1/(2x-3) is x=(3(8-sqrt(34)))/2 ,x=(3(8+sqrt(34)))/2

Solve for x: 1/x-1/45 = 1/(2x-3)

The solution is x=(3(8-sqrt(34)))/2 ,x=(3(8+sqrt(34)))/2

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\frac{1}{x} - \frac{1}{45} = \frac{1}{2 x - 3}

x = \frac{3 ( 8 - 34 )}{2}, x = \frac{3 ( 8 + 34 )}{2}

Decimal Notation

x = 3.25357 \dots, x = 20.74642 \dots

Solution steps

\frac{1}{x} - \frac{1}{45} = \frac{1}{2 x - 3}

Multiply by LCM

45 (2 x - 3) - x (2 x - 3) = 45 x

Solve

45 (2 x - 3) - x (2 x - 3) = 45 x : x = \frac{3 ( 8 - 34 )}{2}, x = \frac{3 ( 8 + 34 )}{2}

x = \frac{3 ( 8 - 34 )}{2}, x = \frac{3 ( 8 + 34 )}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = \frac{3}{2}

Combine undefined points with solutions:

x = \frac{3 ( 8 - 34 )}{2}, x = \frac{3 ( 8 + 34 )}{2}

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

A, A^{2} X^{- 1} B A^{- 2} = A^{5} B A^{- 3}

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

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

0.002 = \frac{c - 52.6}{c} \cdot 0.0035

What is the answer to 1/x-1/45 = 1/(2x-3) ?
The answer to 1/x-1/45 = 1/(2x-3) is x=(3(8-sqrt(34)))/2 ,x=(3(8+sqrt(34)))/2
Solve for x: 1/x-1/45 = 1/(2x-3)
The solution is x=(3(8-sqrt(34)))/2 ,x=(3(8+sqrt(34)))/2