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D( x )
25-(4*x^2) = 0
25-(4*x^2) = 0
25-(4*x^2) = 0
25-4*x^2 = 0
-4*x^2 = -25 // : -4
x^2 = 25/4
x^2 = 25/4 // ^ 1/2
abs(x) = 5/2
x = 5/2 or x = -5/2
x in (-oo:-5/2) U (-5/2:5/2) U (5/2:+oo)
(2*x^2-(3*x)-5)/(25-(4*x^2)) = 0
(2*x^2-3*x-5)/(25-4*x^2) = 0
2*x^2-3*x-5 = 0
2*x^2-3*x-5 = 0
DELTA = (-3)^2-(-5*2*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+3)/(2*2) or x = (3-49^(1/2))/(2*2)
x = 5/2 or x = -1
(x+1)*(x-5/2) = 0
((x+1)*(x-5/2))/(25-4*x^2) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x-5/2 )
x-5/2 = 0 // + 5/2
x = 5/2
x in { 5/2}
x = -1
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