(12x^5-20x^4+16x^3)/(4x^4)

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Solution for (12x^5-20x^4+16x^3)/(4x^4) equation: 


D( x )

4*x^4 = 0

4*x^4 = 0

4*x^4 = 0

4*x^4 = 0 // : 4

x^4 = 0

x = 0

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

(12*x^5-(20*x^4)+16*x^3)/(4*x^4) = 0

(12*x^5-20*x^4+16*x^3)/(4*x^4) = 0

12*x^5-20*x^4+16*x^3 = 0

4*x^3*(3*x^2-5*x+4) = 0

3*x^2-5*x+4 = 0

DELTA = (-5)^2-(3*4*4)

DELTA = -23

DELTA < 0

4*x^3 = 0

(4*x^3)/(4*x^4) = 0

4*x^3 = 0 // : 4

x^3 = 0

x = 0

x in { 0} 

x belongs to the empty set

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