What is the answer to (176)/r+(81)/(r-8)=5 ?

The answer to (176)/r+(81)/(r-8)=5 is r=(297+sqrt(60049))/(10),r=(297-sqrt(60049))/(10)

Solve for r: (176)/r+(81)/(r-8)=5

The solution is r=(297+sqrt(60049))/(10),r=(297-sqrt(60049))/(10)

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\frac{176}{r} + \frac{81}{r - 8} = 5

r = \frac{297 + 60049}{10}, r = \frac{297 - 60049}{10}

Decimal Notation

r = 54.20489 \dots, r = 5.19510 \dots

Solution steps

\frac{176}{r} + \frac{81}{r - 8} = 5

Multiply by LCM

176 (r - 8) + 81 r = 5 r (r - 8)

Solve

176 (r - 8) + 81 r = 5 r (r - 8) : r = \frac{297 + 60049}{10}, r = \frac{297 - 60049}{10}

r = \frac{297 + 60049}{10}, r = \frac{297 - 60049}{10}

Verify Solutions

Find undefined (singularity) points:

r = 0, r = 8

Combine undefined points with solutions:

r = \frac{297 + 60049}{10}, r = \frac{297 - 60049}{10}

\frac{x}{2 x - 1} - \frac{1}{x} = 0

a, ab - \frac{16}{ab} = 2

\frac{x}{1 + x ^{2}} = 0

\frac{27}{x} + 7 = 10

\frac{3}{x - 3} = 6 + \frac{x}{x - 3}

What is the answer to (176)/r+(81)/(r-8)=5 ?
The answer to (176)/r+(81)/(r-8)=5 is r=(297+sqrt(60049))/(10),r=(297-sqrt(60049))/(10)
Solve for r: (176)/r+(81)/(r-8)=5
The solution is r=(297+sqrt(60049))/(10),r=(297-sqrt(60049))/(10)