What is the answer to roots 3/x+x/5 =-2 ?

The answer to roots 3/x+x/5 =-2 is x=-5+sqrt(10),x=-5-sqrt(10)

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roots 3/x+x/5 =-2

roots

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

x = - 5 + 10, x = - 5 - 10

Solution steps

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

Multiply by LCM

15 + x^{2} = - 10 x

Solve

15 + x^{2} = - 10 x : x = - 5 + 10, x = - 5 - 10

x = - 5 + 10, x = - 5 - 10

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 5 + 10, x = - 5 - 10

\frac{1}{1 + \frac{1}{x}} = 16

x + \frac{2}{x - 4} = \frac{7}{x - 4}

\frac{4}{x - 2} - \frac{15}{x} = 2

y, \frac{- 2 x - y}{x + 2 y} = 0

\frac{18}{x ^{2} - 3 x} + 2 = \frac{6}{x - 3}

What is the answer to roots 3/x+x/5 =-2 ?
The answer to roots 3/x+x/5 =-2 is x=-5+sqrt(10),x=-5-sqrt(10)