y^2/y-9+y-90/y-9

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Solution for y^2/y-9+y-90/y-9 equation:


D( y )

y = 0

y = 0

y = 0

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

(y^2)/y+y-(90/y)-9-9 = 0

(y^2)/y+y-90*y^-1-9-9 = 0

2*y^1-90*y^-1-18*y^0 = 0

(2*y^2-18*y^1-90*y^0)/(y^1) = 0 // * y^2

y^1*(2*y^2-18*y^1-90*y^0) = 0

y^1

2*y^2-18*y-90 = 0

2*y^2-18*y-90 = 0

DELTA = (-18)^2-(-90*2*4)

DELTA = 1044

DELTA > 0

y = (1044^(1/2)+18)/(2*2) or y = (18-1044^(1/2))/(2*2)

y = (6*29^(1/2)+18)/4 or y = (18-6*29^(1/2))/4

y in { (18-6*29^(1/2))/4, (6*29^(1/2)+18)/4}

y in { (18-6*29^(1/2))/4, (6*29^(1/2)+18)/4 }

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