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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
4*x+3*(175/x) = 100 // - 100
4*x+3*(175/x)-100 = 0
4*x^1+525*x^-1-100*x^0 = 0
(4*x^2-100*x^1+525*x^0)/(x^1) = 0 // * x^2
x^1*(4*x^2-100*x^1+525*x^0) = 0
x^1
4*x^2-100*x+525 = 0
4*x^2-100*x+525 = 0
DELTA = (-100)^2-(4*4*525)
DELTA = 1600
DELTA > 0
x = (1600^(1/2)+100)/(2*4) or x = (100-1600^(1/2))/(2*4)
x = 35/2 or x = 15/2
x in { 15/2, 35/2}
x in { 15/2, 35/2 }
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