6y+3/11=15/y

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Solution for 6y+3/11=15/y equation:


D( y )

y = 0

y = 0

y = 0

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

6*y+3/11 = 15/y // - 15/y

6*y-(15/y)+3/11 = 0

6*y-15*y^-1+3/11 = 0

6*y^1-15*y^-1+3/11*y^0 = 0

(6*y^2+3/11*y^1-15*y^0)/(y^1) = 0 // * y^2

y^1*(6*y^2+3/11*y^1-15*y^0) = 0

y^1

6*y^2+(3/11)*y-15 = 0

6*y^2+(3/11)*y-15 = 0

DELTA = (3/11)^2-(-15*4*6)

DELTA = 43569/121

DELTA > 0

y = ((43569/121)^(1/2)-(3/11))/(2*6) or y = (-(3/11)-(43569/121)^(1/2))/(2*6)

y = ((43569/121)^(1/2)-3/11)/12 or y = (-((43569/121)^(1/2)+3/11))/12

y in { (-((43569/121)^(1/2)+3/11))/12, ((43569/121)^(1/2)-3/11)/12}

y in { (-((43569/121)^(1/2)+3/11))/12, ((43569/121)^(1/2)-3/11)/12 }

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