(2x^4-8x)/x^4

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Solution for (2x^4-8x)/x^4 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*x^4-(8*x))/(x^4) = 0

(2*x^4-8*x)/(x^4) = 0

2*x^4-8*x = 0

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

1*x^3 = 4 // : 1

x^3 = 4

x^3 = 4 // ^ 1/3

x = 4^(1/3)

2*x*(x-4^(1/3)) = 0

(2*x*(x-4^(1/3)))/(x^4) = 0

( 2*x )

2*x = 0 // : 2

x = 0

( x-4^(1/3) )

x-4^(1/3) = 0 // + 4^(1/3)

x = 4^(1/3)

x in { 0} 

x = 4^(1/3)

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