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D( x )
2*x^2-(4*x)-16 = 0
2*x^2-(4*x)-16 = 0
2*x^2-(4*x)-16 = 0
2*x^2-4*x-16 = 0
2*x^2-4*x-16 = 0
DELTA = (-4)^2-(-16*2*4)
DELTA = 144
DELTA > 0
x = (144^(1/2)+4)/(2*2) or x = (4-144^(1/2))/(2*2)
x = 4 or x = -2
x in (-oo:-2) U (-2:4) U (4:+oo)
(2*x^2-(5*x)-12)/(2*x^2-(4*x)-16) = 0
(2*x^2-5*x-12)/(2*x^2-4*x-16) = 0
2*x^2-5*x-12 = 0
2*x^2-5*x-12 = 0
DELTA = (-5)^2-(-12*2*4)
DELTA = 121
DELTA > 0
x = (121^(1/2)+5)/(2*2) or x = (5-121^(1/2))/(2*2)
x = 4 or x = -3/2
(x+3/2)*(x-4) = 0
2*x^2-4*x-16 = 0
2*(x^2-2*x-8) = 0
x^2-2*x-8 = 0
DELTA = (-2)^2-(-8*1*4)
DELTA = 36
DELTA > 0
x = (36^(1/2)+2)/(1*2) or x = (2-36^(1/2))/(1*2)
x = 4 or x = -2
2*(x+2)*(x-4) = 0
((x+3/2)*(x-4))/(2*(x+2)*(x-4)) = 0
( x+3/2 )
x+3/2 = 0 // - 3/2
x = -3/2
( x-4 )
x-4 = 0 // + 4
x = 4
x in { 4}
x = -3/2
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