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D( x )
4*x^2-(6*x)-10 = 0
4*x^2-(6*x)-10 = 0
4*x^2-(6*x)-10 = 0
4*x^2-6*x-10 = 0
4*x^2-6*x-10 = 0
DELTA = (-6)^2-(-10*4*4)
DELTA = 196
DELTA > 0
x = (196^(1/2)+6)/(2*4) or x = (6-196^(1/2))/(2*4)
x = 5/2 or x = -1
x in (-oo:-1) U (-1:5/2) U (5/2:+oo)
(8*x^3-(50*x))/(4*x^2-(6*x)-10) = 0
(8*x^3-50*x)/(4*x^2-6*x-10) = 0
8*x^3-50*x = 0
2*x*(4*x^2-25) = 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
2*x*(x-5/2)*(x+5/2) = 0
4*x^2-6*x-10 = 0
2*(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
2*(x+1)*(x-5/2) = 0
(2*x*(x-5/2)*(x+5/2))/(2*(x+1)*(x-5/2)) = 0
( 2*x )
2*x = 0 // : 2
x = 0
( x+5/2 )
x+5/2 = 0 // - 5/2
x = -5/2
( x-5/2 )
x-5/2 = 0 // + 5/2
x = 5/2
x in { 5/2}
x in { 0, -5/2 }
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