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D( m )
2*m^2-6 = 0
2*m^2-6 = 0
2*m^2-6 = 0
2*m^2 = 6 // : 2
m^2 = 3
m^2 = 3 // ^ 1/2
abs(m) = 3^(1/2)
m = 3^(1/2) or m = -3^(1/2)
m in (-oo:-3^(1/2)) U (-3^(1/2):3^(1/2)) U (3^(1/2):+oo)
(8*m)/(2*m^2-6) = 2 // - 2
(8*m)/(2*m^2-6)-2 = 0
(8*m)/(2*m^2-6)+(-2*(2*m^2-6))/(2*m^2-6) = 0
8*m-2*(2*m^2-6) = 0
8*m-4*m^2+12 = 0
8*m-4*m^2+12 = 0
4*(2*m-m^2+3) = 0
2*m-m^2+3 = 0
DELTA = 2^2-(-1*3*4)
DELTA = 16
DELTA > 0
m = (16^(1/2)-2)/(-1*2) or m = (-16^(1/2)-2)/(-1*2)
m = -1 or m = 3
4*(m+1)*(m-3) = 0
(4*(m+1)*(m-3))/(2*m^2-6) = 0
(4*(m+1)*(m-3))/(2*m^2-6) = 0 // * 2*m^2-6
4*(m+1)*(m-3) = 0
( 4 )
4 = 0
m belongs to the empty set
( m+1 )
m+1 = 0 // - 1
m = -1
( m-3 )
m-3 = 0 // + 3
m = 3
m in { -1, 3 }
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