(9x-2x^7)/x^4

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Solution for (9x-2x^7)/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)

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

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

9*x-2*x^7 = 0

x*(9-2*x^6) = 0

-2*x^6 = -9 // : -2

x^6 = 9/2

x^6 = 9/2 // ^ 1/6

abs(x) = (9/2)^(1/6)

x = (9/2)^(1/6) or x = -(9/2)^(1/6)

x*(x-(9/2)^(1/6))*(x+(9/2)^(1/6)) = 0

(x*(x-(9/2)^(1/6))*(x+(9/2)^(1/6)))/(x^4) = 0

( x+(9/2)^(1/6) )

x+(9/2)^(1/6) = 0 // - (9/2)^(1/6)

x = -(9/2)^(1/6)

( x-(9/2)^(1/6) )

x-(9/2)^(1/6) = 0 // + (9/2)^(1/6)

x = (9/2)^(1/6)

( x )

x = 0

x in { 0}

x in { -(9/2)^(1/6), (9/2)^(1/6) }

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