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D( x )
5*x^2-(25*x)-30 = 0
5*x^2-(25*x)-30 = 0
5*x^2-(25*x)-30 = 0
5*x^2-25*x-30 = 0
5*x^2-25*x-30 = 0
DELTA = (-25)^2-(-30*4*5)
DELTA = 1225
DELTA > 0
x = (1225^(1/2)+25)/(2*5) or x = (25-1225^(1/2))/(2*5)
x = 6 or x = -1
x in (-oo:-1) U (-1:6) U (6:+oo)
(x^2-(5*x)-6)/(5*x^2-(25*x)-30) = 0
(x^2-5*x-6)/(5*x^2-25*x-30) = 0
x^2-5*x-6 = 0
x^2-5*x-6 = 0
DELTA = (-5)^2-(-6*1*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+5)/(1*2) or x = (5-49^(1/2))/(1*2)
x = 6 or x = -1
(x+1)*(x-6) = 0
5*x^2-25*x-30 = 0
5*(x^2-5*x-6) = 0
x^2-5*x-6 = 0
DELTA = (-5)^2-(-6*1*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+5)/(1*2) or x = (5-49^(1/2))/(1*2)
x = 6 or x = -1
5*(x+1)*(x-6) = 0
((x+1)*(x-6))/(5*(x+1)*(x-6)) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x-6 )
x-6 = 0 // + 6
x = 6
x in { -1}
x in { 6}
x belongs to the empty set
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