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

The answer to (y^2+1)/(3*y)=2 is y=3+2sqrt(2),y=3-2sqrt(2)

Solve for y: (y^2+1)/(3*y)=2

The solution is y=3+2sqrt(2),y=3-2sqrt(2)

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\frac{y ^{2} + 1}{3 \cdot y} = 2

y = 3 + 22, y = 3 - 22

Decimal Notation

y = 5.82842 \dots, y = 0.17157 \dots

Solution steps

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

Multiply both sides by

y

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

Solve

\frac{y ^{2} + 1}{3} = 2 y : y = 3 + 22, y = 3 - 22

y = 3 + 22, y = 3 - 22

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = 3 + 22, y = 3 - 22

\frac{0.009}{x} = 0.01

\frac{x}{x} = \frac{x}{12}

x^{- 4} x + 7 = 0

63.134 = 60 + x + \frac{1}{10} + \frac{x}{100} + \frac{4}{x}

\frac{3}{( x - 2 )} + \frac{2}{( x + 3 )} = 0

What is the answer to (y^2+1)/(3*y)=2 ?
The answer to (y^2+1)/(3*y)=2 is y=3+2sqrt(2),y=3-2sqrt(2)
Solve for y: (y^2+1)/(3*y)=2
The solution is y=3+2sqrt(2),y=3-2sqrt(2)