4y/y^2-10y+21-1/y-3

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Solution for 4y/y^2-10y+21-1/y-3 equation:


D( y )

y = 0

y^2 = 0

y = 0

y = 0

y^2 = 0

y^2 = 0

1*y^2 = 0 // : 1

y^2 = 0

y = 0

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

(4*y)/(y^2)-(10*y)-(1/y)-3+21 = 0

(4*y)/(y^2)-10*y-y^-1-3+21 = 0

3*y^-1-10*y^1+18*y^0 = 0

(18*y^1-10*y^2+3*y^0)/(y^1) = 0 // * y^2

y^1*(18*y^1-10*y^2+3*y^0) = 0

y^1

18*y-10*y^2+3 = 0

18*y-10*y^2+3 = 0

DELTA = 18^2-(-10*3*4)

DELTA = 444

DELTA > 0

y = (444^(1/2)-18)/(-10*2) or y = (-444^(1/2)-18)/(-10*2)

y = (2*111^(1/2)-18)/(-20) or y = (-2*111^(1/2)-18)/(-20)

y in { (2*111^(1/2)-18)/(-20), (-2*111^(1/2)-18)/(-20)}

y in { (2*111^(1/2)-18)/(-20), (-2*111^(1/2)-18)/(-20) }

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