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D( x )
2*x-7 = 0
2*x-7 = 0
2*x-7 = 0
2*x-7 = 0 // + 7
2*x = 7 // : 2
x = 7/2
x in (-oo:7/2) U (7/2:+oo)
x-(1/(2*x-7))-4 = 0
x-(2*x-7)^-1-4 = 0
x-1/(2*x-7)-4 = 0
(x*(2*x-7))/(2*x-7)-1/(2*x-7)+(-4*(2*x-7))/(2*x-7) = 0
x*(2*x-7)-4*(2*x-7)-1 = 0
2*x^2-7*x-8*x-1+28 = 0
2*x^2-15*x+27 = 0
2*x^2-15*x+27 = 0
2*x^2-15*x+27 = 0
DELTA = (-15)^2-(2*4*27)
DELTA = 9
DELTA > 0
x = (9^(1/2)+15)/(2*2) or x = (15-9^(1/2))/(2*2)
x = 9/2 or x = 3
(x-3)*(x-9/2) = 0
((x-3)*(x-9/2))/(2*x-7) = 0
((x-3)*(x-9/2))/(2*x-7) = 0 // * 2*x-7
(x-3)*(x-9/2) = 0
( x-3 )
x-3 = 0 // + 3
x = 3
( x-9/2 )
x-9/2 = 0 // + 9/2
x = 9/2
x in { 3, 9/2 }
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