3y^2/y+12y/y-21/y

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Solution for 3y^2/y+12y/y-21/y equation: 


D( y )

y = 0

y = 0

y = 0

y in (-oo:0) U (0:+oo)

(3*y^2)/y-(21/y)+(12*y)/y = 0

(3*y^2)/y-21*y^-1+(12*y)/y = 0

3*y^1-21*y^-1+12*y^0 = 0

(3*y^2+12*y^1-21*y^0)/(y^1) = 0 // * y^2

y^1*(3*y^2+12*y^1-21*y^0) = 0

y^1

3*y^2+12*y-21 = 0

3*y^2+12*y-21 = 0

DELTA = 12^2-(-21*3*4)

DELTA = 396

DELTA > 0

y = (396^(1/2)-12)/(2*3) or y = (-396^(1/2)-12)/(2*3)

y = (6*11^(1/2)-12)/6 or y = (-6*11^(1/2)-12)/6

y in { (-6*11^(1/2)-12)/6, (6*11^(1/2)-12)/6} 

y in { (-6*11^(1/2)-12)/6, (6*11^(1/2)-12)/6 }

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