What is the answer to (y^2+1)/y = 34/15 ?

The answer to (y^2+1)/y = 34/15 is y= 5/3 ,y= 3/5

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(y^2+1)/y = 34/15

\frac{y ^{2} + 1}{y} = \frac{34}{15}

y = \frac{5}{3}, y = \frac{3}{5}

Decimal Notation

y = 1.66666 \dots, y = 0.6

Solution steps

\frac{y ^{2} + 1}{y} = \frac{34}{15}

Cross multiply

(y^{2} + 1) \cdot 15 = y \cdot 34

Solve

(y^{2} + 1) \cdot 15 = y \cdot 34 : y = \frac{5}{3}, y = \frac{3}{5}

y = \frac{5}{3}, y = \frac{3}{5}

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = \frac{5}{3}, y = \frac{3}{5}

\frac{7 x - 3 + 32}{3 x - 1} = \frac{1}{3}

\frac{2}{3 ( x + \frac{1}{5} )} = \frac{3}{4} (x - \frac{6}{3})

\frac{a}{b} = \frac{( 2 x )}{( x - 4 )}

\frac{n !}{( n - 2 ) !} = 30

\frac{x + 1}{2 x + 3} = \frac{3}{8}

What is the answer to (y^2+1)/y = 34/15 ?
The answer to (y^2+1)/y = 34/15 is y= 5/3 ,y= 3/5
Solve for y: (y^2+1)/y = 34/15
The solution is y= 5/3 ,y= 3/5