What is the answer to 36a^{-2}+77a^{-1}-9=0 ?

The answer to 36a^{-2}+77a^{-1}-9=0 is a=-4/9 ,a=9

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36a^{-2}+77a^{-1}-9=0

36 a^{- 2} + 77 a^{- 1} - 9 = 0

a = - \frac{4}{9}, a = 9

Decimal Notation

a = - 0.44444 \dots, a = 9

Solution steps

36 a^{- 2} + 77 a^{- 1} - 9 = 0

Refine

\frac{36}{a ^{2}} + \frac{77}{a} - 9 = 0

Multiply by LCM

36 + 77 a - 9 a^{2} = 0

Solve

36 + 77 a - 9 a^{2} = 0 : a = - \frac{4}{9}, a = 9

a = - \frac{4}{9}, a = 9

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = - \frac{4}{9}, a = 9

\frac{1}{x} - \frac{4}{x - 1} - 1 = 0

\frac{w}{10} - \frac{1}{2 w} = 0

\frac{21}{x} = 0

\frac{9}{x} = \frac{45}{100}

\frac{x}{5 ( x + 3 )} = 4 (x - 3)

What is the answer to 36a^{-2}+77a^{-1}-9=0 ?
The answer to 36a^{-2}+77a^{-1}-9=0 is a=-4/9 ,a=9
Solve for a: 36a^{-2}+77a^{-1}-9=0
The solution is a=-4/9 ,a=9