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D( x )
x = 0
4*x-20 = 0
x = 0
x = 0
4*x-20 = 0
4*x-20 = 0
4*x-20 = 0 // + 20
4*x = 20 // : 4
x = 20/4
x = 5
x in (-oo:0) U (0:5) U (5:+oo)
3/(4*x-20)+1 = -6/x-5 // + -6/x-5
3/(4*x-20)-(-6/x)+1+5 = 0
3/(4*x-20)+6*x^-1+1+5 = 0
3/(4*x-20)+6/x+1+5 = 0
(3*x)/(x*(4*x-20))+(6*(4*x-20))/(x*(4*x-20))+(1*x*(4*x-20))/(x*(4*x-20))+(5*x*(4*x-20))/(x*(4*x-20)) = 0
6*(4*x-20)+1*x*(4*x-20)+5*x*(4*x-20)+3*x = 0
4*x^2+20*x^2+27*x-20*x-100*x-120 = 0
4*x^2+20*x^2+7*x-100*x-120 = 0
24*x^2-93*x-120 = 0
24*x^2-93*x-120 = 0
3*(8*x^2-31*x-40) = 0
8*x^2-31*x-40 = 0
DELTA = (-31)^2-(-40*4*8)
DELTA = 2241
DELTA > 0
x = (2241^(1/2)+31)/(2*8) or x = (31-2241^(1/2))/(2*8)
x = (3*249^(1/2)+31)/16 or x = (31-3*249^(1/2))/16
3*(x-((31-3*249^(1/2))/16))*(x-((3*249^(1/2)+31)/16)) = 0
(3*(x-((31-3*249^(1/2))/16))*(x-((3*249^(1/2)+31)/16)))/(x*(4*x-20)) = 0
(3*(x-((31-3*249^(1/2))/16))*(x-((3*249^(1/2)+31)/16)))/(x*(4*x-20)) = 0 // * x*(4*x-20)
3*(x-((31-3*249^(1/2))/16))*(x-((3*249^(1/2)+31)/16)) = 0
( x-((3*249^(1/2)+31)/16) )
x-((3*249^(1/2)+31)/16) = 0 // + (3*249^(1/2)+31)/16
x = (3*249^(1/2)+31)/16
( x-((31-3*249^(1/2))/16) )
x-((31-3*249^(1/2))/16) = 0 // + (31-3*249^(1/2))/16
x = (31-3*249^(1/2))/16
x in { (3*249^(1/2)+31)/16, (31-3*249^(1/2))/16 }
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