(y^2-y-2)/(24-6y^2)

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Solution for (y^2-y-2)/(24-6y^2) equation: 


D( y )

24-(6*y^2) = 0

24-(6*y^2) = 0

24-(6*y^2) = 0

24-6*y^2 = 0

-6*y^2 = -24 // : -6

y^2 = 4

y^2 = 4 // ^ 1/2

abs(y) = 2

y = 2 or y = -2

y in (-oo:-2) U (-2:2) U (2:+oo)

(y^2-y-2)/(24-(6*y^2)) = 0

(y^2-y-2)/(24-6*y^2) = 0

y^2-y-2 = 0

y^2-y-2 = 0

DELTA = (-1)^2-(-2*1*4)

DELTA = 9

DELTA > 0

y = (9^(1/2)+1)/(1*2) or y = (1-9^(1/2))/(1*2)

y = 2 or y = -1

(y+1)*(y-2) = 0

((y+1)*(y-2))/(24-6*y^2) = 0

( y+1 )

y+1 = 0 // - 1

y = -1

( y-2 )

y-2 = 0 // + 2

y = 2

y in { 2} 

y = -1

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