What is the answer to 2/q+2q= 20/3 ?

The answer to 2/q+2q= 20/3 is q=3,q= 1/3

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2/q+2q= 20/3

\frac{2}{q} + 2 q = \frac{20}{3}

q = 3, q = \frac{1}{3}

Decimal Notation

q = 3, q = 0.33333 \dots

Solution steps

\frac{2}{q} + 2 q = \frac{20}{3}

Multiply by LCM

6 + 6 q^{2} = 20 q

Solve

6 + 6 q^{2} = 20 q : q = 3, q = \frac{1}{3}

q = 3, q = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

q = 0

Combine undefined points with solutions:

q = 3, q = \frac{1}{3}

1.25 = \frac{0.25}{x} (1 - x)

0 = \frac{- 1}{x}

\frac{12 - 1.222}{R} = 0.3

\frac{12 - 1.222}{R} = 0.4

\frac{5}{d + 3} = \frac{- 7}{d + 5}