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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
7/x-((3/4)*x)-24-6 = 0
(-3/4)*x+7/x-24-6 = 0
7*x^-1-3/4*x^1-30*x^0 = 0
(7*x^0-3/4*x^2-30*x^1)/(x^1) = 0 // * x^2
x^1*(7*x^0-3/4*x^2-30*x^1) = 0
x^1
(-3/4)*x^2-30*x+7 = 0
(-3/4)*x^2-30*x+7 = 0
DELTA = (-30)^2-(4*7*(-3/4))
DELTA = 921
DELTA > 0
x = (921^(1/2)+30)/(2*(-3/4)) or x = (30-921^(1/2))/(2*(-3/4))
x = -2/3*(921^(1/2)+30) or x = -2/3*(30-921^(1/2))
x in { -2/3*(921^(1/2)+30), -2/3*(30-921^(1/2))}
x in { -2/3*(921^(1/2)+30), -2/3*(30-921^(1/2)) }
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