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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(1/2)*x+3 = 7/x+4 // - 7/x+4
(1/2)*x-(7/x)-4+3 = 0
(1/2)*x-7*x^-1-4+3 = 0
1/2*x^1-7*x^-1-1*x^0 = 0
(1/2*x^2-1*x^1-7*x^0)/(x^1) = 0 // * x^2
x^1*(1/2*x^2-1*x^1-7*x^0) = 0
x^1
(1/2)*x^2-x-7 = 0
(1/2)*x^2-x-7 = 0
DELTA = (-1)^2-(-7*4*(1/2))
DELTA = 15
DELTA > 0
x = (15^(1/2)+1)/(2*(1/2)) or x = (1-15^(1/2))/(2*(1/2))
x = 15^(1/2)+1 or x = 1-15^(1/2)
x in { 1-15^(1/2), 15^(1/2)+1}
x in { 1-15^(1/2), 15^(1/2)+1 }
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