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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
7/x = (5/2)*x+36 // - (5/2)*x+36
7/x-((5/2)*x)-36 = 0
(-5/2)*x+7/x-36 = 0
7*x^-1-5/2*x^1-36*x^0 = 0
(7*x^0-5/2*x^2-36*x^1)/(x^1) = 0 // * x^2
x^1*(7*x^0-5/2*x^2-36*x^1) = 0
x^1
(-5/2)*x^2-36*x+7 = 0
(-5/2)*x^2-36*x+7 = 0
DELTA = (-36)^2-(4*7*(-5/2))
DELTA = 1366
DELTA > 0
x = (1366^(1/2)+36)/(2*(-5/2)) or x = (36-1366^(1/2))/(2*(-5/2))
x = (1366^(1/2)+36)/(-5) or x = (36-1366^(1/2))/(-5)
x in { (1366^(1/2)+36)/(-5), (36-1366^(1/2))/(-5)}
x in { (1366^(1/2)+36)/(-5), (36-1366^(1/2))/(-5) }
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