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D( x )
3*x^3+8*x^2-(16*x) = 0
3*x^3+8*x^2-(16*x) = 0
3*x^3+8*x^2-(16*x) = 0
3*x^3+8*x^2-16*x = 0
3*x^3+8*x^2-16*x = 0
x*(3*x^2+8*x-16) = 0
3*x^2+8*x-16 = 0
DELTA = 8^2-(-16*3*4)
DELTA = 256
DELTA > 0
x = (256^(1/2)-8)/(2*3) or x = (-256^(1/2)-8)/(2*3)
x = 4/3 or x = -4
x = 0
x = 0
x in (-oo:-4) U (-4:0) U (0:4/3) U (4/3:+oo)
(x^3-(15*x^2)-(50*x))/(3*x^3+8*x^2-(16*x)) = 0
(x^3-15*x^2-50*x)/(3*x^3+8*x^2-16*x) = 0
x^3-15*x^2-50*x = 0
x*(x^2-15*x-50) = 0
x^2-15*x-50 = 0
DELTA = (-15)^2-(-50*1*4)
DELTA = 425
DELTA > 0
x = (425^(1/2)+15)/(1*2) or x = (15-425^(1/2))/(1*2)
x = (5*17^(1/2)+15)/2 or x = (15-5*17^(1/2))/2
x*(x-((15-5*17^(1/2))/2))*(x-((5*17^(1/2)+15)/2)) = 0
3*x^3+8*x^2-16*x = 0
x*(3*x^2+8*x-16) = 0
3*x^2+8*x-16 = 0
DELTA = 8^2-(-16*3*4)
DELTA = 256
DELTA > 0
x = (256^(1/2)-8)/(2*3) or x = (-256^(1/2)-8)/(2*3)
x = 4/3 or x = -4
x*(x+4)*(x-4/3) = 0
(x*(x-((15-5*17^(1/2))/2))*(x-((5*17^(1/2)+15)/2)))/(x*(x+4)*(x-4/3)) = 0
( x-((15-5*17^(1/2))/2) )
x-((15-5*17^(1/2))/2) = 0 // + (15-5*17^(1/2))/2
x = (15-5*17^(1/2))/2
( x-((5*17^(1/2)+15)/2) )
x-((5*17^(1/2)+15)/2) = 0 // + (5*17^(1/2)+15)/2
x = (5*17^(1/2)+15)/2
( x )
x = 0
x in { 0}
x in { (15-5*17^(1/2))/2, (5*17^(1/2)+15)/2 }
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