2y/x4-3

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Solution for 2y/x4-3 equation: 


D( x )

x^4 = 0

x^4 = 0

x^4 = 0

1*x^4 = 0 // : 1

x^4 = 0

x = 0

x in (-oo:0) U (0:+oo)

(2*y)/(x^4)-3 = 0

2*x^-4*y = 3 // : 2*y

x^-4 = 3/(2*y)

-4 < 0

1/(x^4) = 3/(2*y) // * x^4

1 = x^4*(3/(2*y)) // : 3/(2*y)

(2*y)/3 = x^4

x^4 = (2*y)/3 // ^ 1/4

abs(x) = (2^(1/4)*y^(1/4))/(3^(1/4))

x = (2^(1/4)*y^(1/4))/(3^(1/4)) or x = -((2^(1/4)*y^(1/4))/(3^(1/4)))

x in { (2^(1/4)*y^(1/4))/(3^(1/4)), -((2^(1/4)*y^(1/4))/(3^(1/4))) }

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