(y*y-9)/(y*y+3y-18)

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Solution for (y*y-9)/(y*y+3y-18) equation: 


D( y )

y*y+3*y-18 = 0

y*y+3*y-18 = 0

y*y+3*y-18 = 0

y^2+3*y-18 = 0

DELTA = 3^2-(-18*1*4)

DELTA = 81

DELTA > 0

y = (81^(1/2)-3)/(1*2) or y = (-81^(1/2)-3)/(1*2)

y = 3 or y = -6

y in (-oo:-6) U (-6:3) U (3:+oo)

(y*y-9)/(y*y+3*y-18) = 0

(y^2-9)/(y^2+3*y-18) = 0

y^2+3*y-18 = 0

y^2+3*y-18 = 0

DELTA = 3^2-(-18*1*4)

DELTA = 81

DELTA > 0

y = (81^(1/2)-3)/(1*2) or y = (-81^(1/2)-3)/(1*2)

y = 3 or y = -6

(y+6)*(y-3) = 0

(y^2-9)/((y+6)*(y-3)) = 0

1*y^2 = 9 // : 1

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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