What is the answer to solvefor y,17ye^{-x^2-y^2}-34x^2ye^{-x^2-y^2}=0 ?

The answer to solvefor y,17ye^{-x^2-y^2}-34x^2ye^{-x^2-y^2}=0 is y=0

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solvefor y,17ye^{-x^2-y^2}-34x^2ye^{-x^2-y^2}=0

solve for

y, 17 y e^{- x^{2} - y^{2}} - 34 x^{2} y e^{- x^{2} - y^{2}} = 0

y = 0

Solution steps

17 y e^{- x^{2} - y^{2}} - 34 x^{2} y e^{- x^{2} - y^{2}} = 0

Factor

17 y e^{- x^{2} - y^{2}} - 34 x^{2} y e^{- x^{2} - y^{2}} : - 17 e^{- x^{2} - y^{2}} y (2 x + 1) (2 x - 1)

- 17 e^{- x^{2} - y^{2}} y (2 x + 1) (2 x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

e^{- x^{2} - y^{2}} = 0 or y = 0

Solve

e^{- x^{2} - y^{2}} = 0 :

No Solution for

y \in R

y = 0

2^{x + 6} = 2^{5}

9^{x} - 8 \times 3^{x} - 9 = 0

(5^{x - 2})^{x - 3} = 1

e^{2 x} x = 2

4^{x} - 8 \times 2^{x} = 2^{x - 2} - 2

What is the answer to solvefor y,17ye^{-x^2-y^2}-34x^2ye^{-x^2-y^2}=0 ?
The answer to solvefor y,17ye^{-x^2-y^2}-34x^2ye^{-x^2-y^2}=0 is y=0