What is the answer to x+3/x = 52/7 ?

The answer to x+3/x = 52/7 is x=7,x= 3/7

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x+3/x = 52/7

x + \frac{3}{x} = \frac{52}{7}

x = 7, x = \frac{3}{7}

Decimal Notation

x = 7, x = 0.42857 \dots

Solution steps

x + \frac{3}{x} = \frac{52}{7}

Multiply by LCM

7 x^{2} + 21 = 52 x

Solve

7 x^{2} + 21 = 52 x : x = 7, x = \frac{3}{7}

x = 7, x = \frac{3}{7}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 7, x = \frac{3}{7}

x - \frac{24}{x} = 5

\frac{x - 2}{2 x ^{2} - 7 x - 15} x = - 2

b, 2 = q + \frac{f}{b}

x, \frac{- y}{x + 1} (2) = 3

\frac{6}{f} - \frac{10}{3 f} = 2