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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)
(3*x^3-(12*x)-(0*x^2))/(2*x^2-(10*x)+12) = 0
(3*x^3-12*x)/(2*x^2-10*x+12) = 0
3*x^3-12*x = 0
3*x*(x^2-4) = 0
1*x^2 = 4 // : 1
x^2 = 4
x^2 = 4 // ^ 1/2
abs(x) = 2
x = 2 or x = -2
3*x*(x-2)*(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
(3*x*(x-2)*(x+2))/(2*(x-2)*(x-3)) = 0
( 3*x )
3*x = 0 // : 3
x = 0
( x+2 )
x+2 = 0 // - 2
x = -2
( x-2 )
x-2 = 0 // + 2
x = 2
x in { 2}
x in { 0, -2 }
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