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D( x )
2*x^2-(10*x)+12 = 0
2*x^2-(10*x)+12 = 0
2*x^2-(10*x)+12 = 0
2*x^2-10*x+12 = 0
2*x^2-10*x+12 = 0
DELTA = (-10)^2-(2*4*12)
DELTA = 4
DELTA > 0
x = (4^(1/2)+10)/(2*2) or x = (10-4^(1/2))/(2*2)
x = 3 or x = 2
x in (-oo:2) U (2:3) U (3:+oo)
(5*x^3-(4*x^2)-(12*x))/(2*x^2-(10*x)+12) = 0
(5*x^3-4*x^2-12*x)/(2*x^2-10*x+12) = 0
5*x^3-4*x^2-12*x = 0
x*(5*x^2-4*x-12) = 0
5*x^2-4*x-12 = 0
DELTA = (-4)^2-(-12*4*5)
DELTA = 256
DELTA > 0
x = (256^(1/2)+4)/(2*5) or x = (4-256^(1/2))/(2*5)
x = 2 or x = -6/5
x*(x+6/5)*(x-2) = 0
2*x^2-10*x+12 = 0
2*(x^2-5*x+6) = 0
x^2-5*x+6 = 0
DELTA = (-5)^2-(1*4*6)
DELTA = 1
DELTA > 0
x = (1^(1/2)+5)/(1*2) or x = (5-1^(1/2))/(1*2)
x = 3 or x = 2
2*(x-2)*(x-3) = 0
(x*(x+6/5)*(x-2))/(2*(x-2)*(x-3)) = 0
( x+6/5 )
x+6/5 = 0 // - 6/5
x = -6/5
( x-2 )
x-2 = 0 // + 2
x = 2
( x )
x = 0
x in { 2}
x in { -6/5, 0 }
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