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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
4*x+10 = 2*x+50/x-10 // - 2*x+50/x-10
4*x-(2*x)-(50/x)+10+10 = 0
4*x-2*x-50*x^-1+10+10 = 0
2*x^1-50*x^-1+20*x^0 = 0
(2*x^2+20*x^1-50*x^0)/(x^1) = 0 // * x^2
x^1*(2*x^2+20*x^1-50*x^0) = 0
x^1
2*x^2+20*x-50 = 0
2*x^2+20*x-50 = 0
DELTA = 20^2-(-50*2*4)
DELTA = 800
DELTA > 0
x = (800^(1/2)-20)/(2*2) or x = (-800^(1/2)-20)/(2*2)
x = (20*2^(1/2)-20)/4 or x = (-20*2^(1/2)-20)/4
x in { (-20*2^(1/2)-20)/4, (20*2^(1/2)-20)/4}
x in { (-20*2^(1/2)-20)/4, (20*2^(1/2)-20)/4 }
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