(14x^7-4x^3)/(2x^3)

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Solution for (14x^7-4x^3)/(2x^3) equation:


D( x )

2*x^3 = 0

2*x^3 = 0

2*x^3 = 0

2*x^3 = 0 // : 2

x^3 = 0

x = 0

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

(14*x^7-(4*x^3))/(2*x^3) = 0

(14*x^7-4*x^3)/(2*x^3) = 0

14*x^7-4*x^3 = 0

2*x^3*(7*x^4-2) = 0

7*x^4 = 2 // : 7

x^4 = 2/7

x^4 = 2/7 // ^ 1/4

abs(x) = (2/7)^(1/4)

x = (2/7)^(1/4) or x = -(2/7)^(1/4)

2*x^3*(x-(2/7)^(1/4))*(x+(2/7)^(1/4)) = 0

(x-(2/7)^(1/4))*(x+(2/7)^(1/4)) = 0

( x+(2/7)^(1/4) )

x+(2/7)^(1/4) = 0 // - (2/7)^(1/4)

x = -(2/7)^(1/4)

( x-(2/7)^(1/4) )

x-(2/7)^(1/4) = 0 // + (2/7)^(1/4)

x = (2/7)^(1/4)

x in { -(2/7)^(1/4), (2/7)^(1/4) }

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