What is the answer to 5/6 =r-6/r 3 ?

The answer to 5/6 =r-6/r 3 is r=(5+sqrt(2617))/(12),r=(5-sqrt(2617))/(12)

Solve for r: 5/6 =r-6/r 3

The solution is r=(5+sqrt(2617))/(12),r=(5-sqrt(2617))/(12)

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\frac{5}{6} = r - \frac{6}{r} 3

r = \frac{5 + 2617}{12}, r = \frac{5 - 2617}{12}

Decimal Notation

r = 4.67971 \dots, r = - 3.84638 \dots

Solution steps

\frac{5}{6} = r - \frac{6}{r} \cdot 3

Multiply by LCM

5 r = 6 r^{2} - 108

Solve

5 r = 6 r^{2} - 108 : r = \frac{5 + 2617}{12}, r = \frac{5 - 2617}{12}

r = \frac{5 + 2617}{12}, r = \frac{5 - 2617}{12}

Verify Solutions

Find undefined (singularity) points:

r = 0

Combine undefined points with solutions:

r = \frac{5 + 2617}{12}, r = \frac{5 - 2617}{12}

- 4 (2 - x)^{- 2} = 0

\frac{x}{x + 1} = \frac{8}{7}

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

\frac{( 2 x ^{2} )}{192 - x ^{2}} = 1

\frac{4 x ^{2} - 25}{2 x - 5} = 14

What is the answer to 5/6 =r-6/r 3 ?
The answer to 5/6 =r-6/r 3 is r=(5+sqrt(2617))/(12),r=(5-sqrt(2617))/(12)
Solve for r: 5/6 =r-6/r 3
The solution is r=(5+sqrt(2617))/(12),r=(5-sqrt(2617))/(12)