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

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

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y^{-2}+2y^{-1}-15=0

y^{- 2} + 2 y^{- 1} - 15 = 0

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

Decimal Notation

y = - 0.2, y = 0.33333 \dots

Solution steps

y^{- 2} + 2 y^{- 1} - 15 = 0

Refine

\frac{1}{y ^{2}} + \frac{2}{y} - 15 = 0

Multiply by LCM

1 + 2 y - 15 y^{2} = 0

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

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

\frac{4 x + 1}{2 ( 8 x + 6 )} = 2 (4 x + 3)

0.00005 = \frac{8}{x ^{4}}

x, y = - \frac{y}{x}

\frac{3 x - 5}{2 x ^{2} - x - 3} = 0

2 = \frac{1}{1 + x e ^{- 1}}

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