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D( x )
x-2 = 0
x = 0
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
x = 0
x = 0
x in (-oo:0) U (0:2) U (2:+oo)
(4*x)/(x-2)+2/x = 5 // - 5
(4*x)/(x-2)+2/x-5 = 0
(4*x*x)/(x*(x-2))+(2*(x-2))/(x*(x-2))+(-5*x*(x-2))/(x*(x-2)) = 0
2*(x-2)-5*x*(x-2)+4*x*x = 0
4*x^2-5*x^2+2*x+10*x-4 = 0
12*x-x^2-4 = 0
12*x-x^2-4 = 0
12*x-x^2-4 = 0
DELTA = 12^2-(-4*(-1)*4)
DELTA = 128
DELTA > 0
x = (128^(1/2)-12)/(-1*2) or x = (-128^(1/2)-12)/(-1*2)
x = (8*2^(1/2)-12)/(-2) or x = (-8*2^(1/2)-12)/(-2)
(x-((8*2^(1/2)-12)/(-2)))*(x-((-8*2^(1/2)-12)/(-2))) = 0
((x-((8*2^(1/2)-12)/(-2)))*(x-((-8*2^(1/2)-12)/(-2))))/(x*(x-2)) = 0
((x-((8*2^(1/2)-12)/(-2)))*(x-((-8*2^(1/2)-12)/(-2))))/(x*(x-2)) = 0 // * x*(x-2)
(x-((8*2^(1/2)-12)/(-2)))*(x-((-8*2^(1/2)-12)/(-2))) = 0
( x-((-8*2^(1/2)-12)/(-2)) )
x-((-8*2^(1/2)-12)/(-2)) = 0 // + (-8*2^(1/2)-12)/(-2)
x = (-8*2^(1/2)-12)/(-2)
( x-((8*2^(1/2)-12)/(-2)) )
x-((8*2^(1/2)-12)/(-2)) = 0 // + (8*2^(1/2)-12)/(-2)
x = (8*2^(1/2)-12)/(-2)
x in { (-8*2^(1/2)-12)/(-2), (8*2^(1/2)-12)/(-2) }
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