(6y^2-54)/(y^2+5y+6)

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Solution for (6y^2-54)/(y^2+5y+6) equation: 


D( y )

y^2+5*y+6 = 0

y^2+5*y+6 = 0

y^2+5*y+6 = 0

y^2+5*y+6 = 0

DELTA = 5^2-(1*4*6)

DELTA = 1

DELTA > 0

y = (1^(1/2)-5)/(1*2) or y = (-1^(1/2)-5)/(1*2)

y = -2 or y = -3

y in (-oo:-3) U (-3:-2) U (-2:+oo)

(6*y^2-54)/(y^2+5*y+6) = 0

y^2+5*y+6 = 0

y^2+5*y+6 = 0

DELTA = 5^2-(1*4*6)

DELTA = 1

DELTA > 0

y = (1^(1/2)-5)/(1*2) or y = (-1^(1/2)-5)/(1*2)

y = -2 or y = -3

(y+3)*(y+2) = 0

(6*y^2-54)/((y+3)*(y+2)) = 0

6*y^2 = 54 // : 6

y^2 = 9

y^2 = 9 // ^ 1/2

abs(y) = 3

y = 3 or y = -3

y in { -3} 

y = 3

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