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D( x )
2*x-3 = 0
2*x-3 = 0
2*x-3 = 0
2*x-3 = 0 // + 3
2*x = 3 // : 2
x = 3/2
x in (-oo:3/2) U (3/2:+oo)
(2*x^2+7*x-10)/(2*x-3) = 0
2*x^2+7*x-10 = 0
2*x^2+7*x-10 = 0
DELTA = 7^2-(-10*2*4)
DELTA = 129
DELTA > 0
x = (129^(1/2)-7)/(2*2) or x = (-129^(1/2)-7)/(2*2)
x = (129^(1/2)-7)/4 or x = (-(129^(1/2)+7))/4
(x+(129^(1/2)+7)/4)*(x-((129^(1/2)-7)/4)) = 0
((x+(129^(1/2)+7)/4)*(x-((129^(1/2)-7)/4)))/(2*x-3) = 0
( x+(129^(1/2)+7)/4 )
x+(129^(1/2)+7)/4 = 0 // - (129^(1/2)+7)/4
x = -((129^(1/2)+7)/4)
( x-((129^(1/2)-7)/4) )
x-((129^(1/2)-7)/4) = 0 // + (129^(1/2)-7)/4
x = (129^(1/2)-7)/4
x in { -((129^(1/2)+7)/4), (129^(1/2)-7)/4 }
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