What is the answer to 24a^{-2}+61a^{-1}-8=0 ?

The answer to 24a^{-2}+61a^{-1}-8=0 is a=-3/8 ,a=8

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24a^{-2}+61a^{-1}-8=0

24 a^{- 2} + 61 a^{- 1} - 8 = 0

a = - \frac{3}{8}, a = 8

Decimal Notation

a = - 0.375, a = 8

Solution steps

24 a^{- 2} + 61 a^{- 1} - 8 = 0

Refine

\frac{24}{a ^{2}} + \frac{61}{a} - 8 = 0

Multiply by LCM

24 + 61 a - 8 a^{2} = 0

Solve

24 + 61 a - 8 a^{2} = 0 : a = - \frac{3}{8}, a = 8

a = - \frac{3}{8}, a = 8

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = - \frac{3}{8}, a = 8

\frac{3}{x} + \frac{5}{2} = 4

\frac{4}{x + 2} = \frac{3}{x - 5}

\frac{3}{x - 7} + \frac{4}{x + 2} = 1

x + \frac{5}{x - 5} = \frac{x}{x - 5}

(k + \frac{1}{k})^{2} = 16

What is the answer to 24a^{-2}+61a^{-1}-8=0 ?
The answer to 24a^{-2}+61a^{-1}-8=0 is a=-3/8 ,a=8
Solve for a: 24a^{-2}+61a^{-1}-8=0
The solution is a=-3/8 ,a=8