What is the answer to 28a^{-2}+45a^{-1}-7=0 ?

The answer to 28a^{-2}+45a^{-1}-7=0 is a=-4/7 ,a=7

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28a^{-2}+45a^{-1}-7=0

28 a^{- 2} + 45 a^{- 1} - 7 = 0

a = - \frac{4}{7}, a = 7

Decimal Notation

a = - 0.57142 \dots, a = 7

Solution steps

28 a^{- 2} + 45 a^{- 1} - 7 = 0

Refine

\frac{28}{a ^{2}} + \frac{45}{a} - 7 = 0

Multiply by LCM

28 + 45 a - 7 a^{2} = 0

Solve

28 + 45 a - 7 a^{2} = 0 : a = - \frac{4}{7}, a = 7

a = - \frac{4}{7}, a = 7

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = - \frac{4}{7}, a = 7

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

\frac{x ^{2} - 9}{3 - x} = x + 1

y, x = \frac{y + 2}{y - 3}

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

\frac{a}{x} = \frac{b}{c}

What is the answer to 28a^{-2}+45a^{-1}-7=0 ?
The answer to 28a^{-2}+45a^{-1}-7=0 is a=-4/7 ,a=7
Solve for a: 28a^{-2}+45a^{-1}-7=0
The solution is a=-4/7 ,a=7