(y^2+10y+24)/(y^2+12y+36)

Solution for (y^2+10y+24)/(y^2+12y+36) equation:

D( y )

y^2+12*y+36 = 0

y^2+12*y+36 = 0

y^2+12*y+36 = 0

y^2+12*y+36 = 0

DELTA = 12^2-(1*4*36)

DELTA = 0

y = -12/(1*2)

y = -6 or y = -6

y in (-oo:-6) U (-6:+oo)

(y^2+10*y+24)/(y^2+12*y+36) = 0

y^2+10*y+24 = 0

y^2+10*y+24 = 0

DELTA = 10^2-(1*4*24)

DELTA = 4

DELTA > 0

y = (4^(1/2)-10)/(1*2) or y = (-4^(1/2)-10)/(1*2)

y = -4 or y = -6

(y+6)*(y+4) = 0

y^2+12*y+36 = 0

y^2+12*y+36 = 0

DELTA = 12^2-(1*4*36)

DELTA = 0

y = -12/(1*2)

y = -6 or y = -6

(y+6)^2 = 0

((y+6)*(y+4))/((y+6)^2) = 0

( y+4 )

y+4 = 0 // - 4

y = -4

( y+6 )

y+6 = 0 // - 6

y = -6

y in { -6} 

y = -4