What is the answer to x^{-2}+8x^{-1}+15=0 ?

The answer to x^{-2}+8x^{-1}+15=0 is x=-1/5 ,x=-1/3

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x^{-2}+8x^{-1}+15=0

x^{- 2} + 8 x^{- 1} + 15 = 0

x = - \frac{1}{5}, x = - \frac{1}{3}

Decimal Notation

x = - 0.2, x = - 0.33333 \dots

Solution steps

x^{- 2} + 8 x^{- 1} + 15 = 0

Refine

\frac{1}{x ^{2}} + \frac{8}{x} + 15 = 0

Multiply by LCM

1 + 8 x + 15 x^{2} = 0

Solve

1 + 8 x + 15 x^{2} = 0 : x = - \frac{1}{5}, x = - \frac{1}{3}

x = - \frac{1}{5}, x = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{5}, x = - \frac{1}{3}

u - 6 = - 5 + \frac{30}{u}

\frac{7 ^{n}}{2 ^{n}} = (3.5)^{n}

\frac{3}{2} = \frac{24}{x}

y, x = 2 - \frac{12}{y + 5}

\frac{7}{6} = \frac{8}{x + 4}

What is the answer to x^{-2}+8x^{-1}+15=0 ?
The answer to x^{-2}+8x^{-1}+15=0 is x=-1/5 ,x=-1/3
Solve for x: x^{-2}+8x^{-1}+15=0
The solution is x=-1/5 ,x=-1/3