(y^2-25)*3/y-5

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Solution for (y^2-25)*3/y-5 equation:


D( y )

y = 0

y = 0

y = 0

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

(3*(y^2-25))/y-5 = 0

(3*(y^2-25))/y+(-5*y)/y = 0

3*(y^2-25)-5*y = 0

3*y^2-5*y-75 = 0

3*y^2-5*y-75 = 0

3*y^2-5*y-75 = 0

DELTA = (-5)^2-(-75*3*4)

DELTA = 925

DELTA > 0

y = (925^(1/2)+5)/(2*3) or y = (5-925^(1/2))/(2*3)

y = (5*37^(1/2)+5)/6 or y = (5-5*37^(1/2))/6

(y-((5-5*37^(1/2))/6))*(y-((5*37^(1/2)+5)/6)) = 0

((y-((5-5*37^(1/2))/6))*(y-((5*37^(1/2)+5)/6)))/y = 0

((y-((5-5*37^(1/2))/6))*(y-((5*37^(1/2)+5)/6)))/y = 0 // * y

(y-((5-5*37^(1/2))/6))*(y-((5*37^(1/2)+5)/6)) = 0

( y-((5*37^(1/2)+5)/6) )

y-((5*37^(1/2)+5)/6) = 0 // + (5*37^(1/2)+5)/6

y = (5*37^(1/2)+5)/6

( y-((5-5*37^(1/2))/6) )

y-((5-5*37^(1/2))/6) = 0 // + (5-5*37^(1/2))/6

y = (5-5*37^(1/2))/6

y in { (5*37^(1/2)+5)/6, (5-5*37^(1/2))/6 }

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