What is the answer to 1/x+3/(x-5)=0 ?

The answer to 1/x+3/(x-5)=0 is x= 5/4

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1/x+3/(x-5)=0

\frac{1}{x} + \frac{3}{x - 5} = 0

x = \frac{5}{4}

Decimal Notation

x = 1.25

Solution steps

\frac{1}{x} + \frac{3}{x - 5} = 0

Multiply by LCM

4 x - 5 = 0

Move

5

to the right side

4 x = 5

Divide both sides by

4

x = \frac{5}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 5

Combine undefined points with solutions:

x = \frac{5}{4}

98 = \frac{x}{360 + x} \cdot 100

5 x - (\frac{11}{x ^{2}}) = 0

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

x \cdot \frac{1}{x} = 1

\frac{2 x ^{2} + 5 x - 3}{x + 3} = 7