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D( x )
x-1 = 0
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:1) U (1:+oo)
3/(x-1) = 2*x-7 // - 2*x-7
3/(x-1)-(2*x)+7 = 0
3/(x-1)-2*x+7 = 0
3/(x-1)+(-2*x*(x-1))/(x-1)+(7*(x-1))/(x-1) = 0
7*(x-1)-2*x*(x-1)+3 = 0
2*x-2*x^2+7*x-7+3 = 0
9*x-2*x^2-4 = 0
9*x-2*x^2-4 = 0
9*x-2*x^2-4 = 0
DELTA = 9^2-(-4*(-2)*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)-9)/(-2*2) or x = (-49^(1/2)-9)/(-2*2)
x = 1/2 or x = 4
(x-1/2)*(x-4) = 0
((x-1/2)*(x-4))/(x-1) = 0
((x-1/2)*(x-4))/(x-1) = 0 // * x-1
(x-1/2)*(x-4) = 0
( x-1/2 )
x-1/2 = 0 // + 1/2
x = 1/2
( x-4 )
x-4 = 0 // + 4
x = 4
x in { 1/2, 4 }
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