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D( x )
2*x^2-(9*x)-56 = 0
2*x^2-(9*x)-56 = 0
2*x^2-(9*x)-56 = 0
2*x^2-9*x-56 = 0
2*x^2-9*x-56 = 0
DELTA = (-9)^2-(-56*2*4)
DELTA = 529
DELTA > 0
x = (529^(1/2)+9)/(2*2) or x = (9-529^(1/2))/(2*2)
x = 8 or x = -7/2
x in (-oo:-7/2) U (-7/2:8) U (8:+oo)
(16*x^2+20*x-6)/(2*x^2-(9*x)-56) = 0
(16*x^2+20*x-6)/(2*x^2-9*x-56) = 0
16*x^2+20*x-6 = 0
2*(8*x^2+10*x-3) = 0
8*x^2+10*x-3 = 0
DELTA = 10^2-(-3*4*8)
DELTA = 196
DELTA > 0
x = (196^(1/2)-10)/(2*8) or x = (-196^(1/2)-10)/(2*8)
x = 1/4 or x = -3/2
2*(x+3/2)*(x-1/4) = 0
2*x^2-9*x-56 = 0
2*x^2-9*x-56 = 0
DELTA = (-9)^2-(-56*2*4)
DELTA = 529
DELTA > 0
x = (529^(1/2)+9)/(2*2) or x = (9-529^(1/2))/(2*2)
x = 8 or x = -7/2
(x+7/2)*(x-8) = 0
(2*(x+3/2)*(x-1/4))/((x+7/2)*(x-8)) = 0
( x+3/2 )
x+3/2 = 0 // - 3/2
x = -3/2
( x-1/4 )
x-1/4 = 0 // + 1/4
x = 1/4
x in { -3/2, 1/4 }
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