What is the answer to a^{-2}+3a^{-1}-10=0 ?

The answer to a^{-2}+3a^{-1}-10=0 is a=-1/5 ,a= 1/2

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a^{-2}+3a^{-1}-10=0

a^{- 2} + 3 a^{- 1} - 10 = 0

a = - \frac{1}{5}, a = \frac{1}{2}

Decimal Notation

a = - 0.2, a = 0.5

Solution steps

a^{- 2} + 3 a^{- 1} - 10 = 0

Refine

\frac{1}{a ^{2}} + \frac{3}{a} - 10 = 0

Multiply by LCM

1 + 3 a - 10 a^{2} = 0

Solve

1 + 3 a - 10 a^{2} = 0 : a = - \frac{1}{5}, a = \frac{1}{2}

a = - \frac{1}{5}, a = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = - \frac{1}{5}, a = \frac{1}{2}

\frac{5}{4 - 3 z} = 2

\frac{v ^{3} + v - 12}{7 v} = 4

\frac{26}{x} = 2

\frac{10}{c} = 1.685

x (\frac{1}{x}) = 1, x \neq = 0

What is the answer to a^{-2}+3a^{-1}-10=0 ?
The answer to a^{-2}+3a^{-1}-10=0 is a=-1/5 ,a= 1/2
Solve for a: a^{-2}+3a^{-1}-10=0
The solution is a=-1/5 ,a= 1/2