What is the answer to 1/x =(x+3)/(2x^2) ?

The answer to 1/x =(x+3)/(2x^2) is x=3

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1/x =(x+3)/(2x^2)

\frac{1}{x} = \frac{x + 3}{2 x ^{2}}

x = 3

Solution steps

\frac{1}{x} = \frac{x + 3}{2 x ^{2}}

Cross multiply

2 x^{2} = x (x + 3)

Solve

2 x^{2} = x (x + 3) : x = 0, x = 3

x = 0, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = 3

\frac{15}{x - 1} = \frac{19}{x + 4}

\frac{3}{2 x - 1} = \frac{- 3}{5}

\frac{x}{x + 9} - 5 = - \frac{5}{x + 9}

x^{2} + x - x^{- 1} = 0

\frac{1}{x} + \frac{1}{x + 4} = 0

What is the answer to 1/x =(x+3)/(2x^2) ?
The answer to 1/x =(x+3)/(2x^2) is x=3
Solve for x: 1/x =(x+3)/(2x^2)
The solution is x=3