(3x^32x^2-12x9)/(x-1)

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Solution for (3x^32x^2-12x9)/(x-1) equation:


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

(3*x^2*x^32-(12*x^9))/(x-1) = 0

(3*x^2*x^32-12*x^9)/(x-1) = 0

(3*x^34-12*x^9)/(x-1) = 0

3*x^34-12*x^9 = 0

3*x^9*(x^25-4) = 0

1*x^25 = 4 // : 1

x^25 = 4

x^25 = 4 // ^ 1/25

x = 4^(1/25)

3*x^9*(x-4^(1/25)) = 0

(3*x^9*(x-4^(1/25)))/(x-1) = 0

( 3*x^9 )

3*x^9 = 0 // : 3

x^9 = 0

x = 0

( x-4^(1/25) )

x-4^(1/25) = 0 // + 4^(1/25)

x = 4^(1/25)

x in { 0, 4^(1/25) }

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