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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
2*x-(48/x)+3 = 4 // - 4
2*x-(48/x)-4+3 = 0
2*x-48*x^-1-4+3 = 0
2*x^1-48*x^-1-1*x^0 = 0
(2*x^2-1*x^1-48*x^0)/(x^1) = 0 // * x^2
x^1*(2*x^2-1*x^1-48*x^0) = 0
x^1
2*x^2-x-48 = 0
2*x^2-x-48 = 0
DELTA = (-1)^2-(-48*2*4)
DELTA = 385
DELTA > 0
x = (385^(1/2)+1)/(2*2) or x = (1-385^(1/2))/(2*2)
x = (385^(1/2)+1)/4 or x = (1-385^(1/2))/4
x in { (1-385^(1/2))/4, (385^(1/2)+1)/4}
x in { (1-385^(1/2))/4, (385^(1/2)+1)/4 }
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