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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
4/x-(2/x)+18+18 = ((8*x)/x)*x-324 // - ((8*x)/x)*x-324
4/x-(((8*x)/x)*x)-(2/x)+18+18+324 = 0
4/x-8*x-2*x^-1+18+18+324 = 0
2*x^-1-8*x^1+360*x^0 = 0
(360*x^1-8*x^2+2*x^0)/(x^1) = 0 // * x^2
x^1*(360*x^1-8*x^2+2*x^0) = 0
x^1
360*x-8*x^2+2 = 0
360*x-8*x^2+2 = 0
DELTA = 360^2-(-8*2*4)
DELTA = 129664
DELTA > 0
x = (129664^(1/2)-360)/(-8*2) or x = (-129664^(1/2)-360)/(-8*2)
x = (8*2026^(1/2)-360)/(-16) or x = (-8*2026^(1/2)-360)/(-16)
x in { (8*2026^(1/2)-360)/(-16), (-8*2026^(1/2)-360)/(-16)}
x in { (8*2026^(1/2)-360)/(-16), (-8*2026^(1/2)-360)/(-16) }
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