(y^2-64)*3/y-8

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Solution for (y^2-64)*3/y-8 equation:


D( y )

y = 0

y = 0

y = 0

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

(3*(y^2-64))/y-8 = 0

(3*(y^2-64))/y+(-8*y)/y = 0

3*(y^2-64)-8*y = 0

3*y^2-8*y-192 = 0

3*y^2-8*y-192 = 0

3*y^2-8*y-192 = 0

DELTA = (-8)^2-(-192*3*4)

DELTA = 2368

DELTA > 0

y = (2368^(1/2)+8)/(2*3) or y = (8-2368^(1/2))/(2*3)

y = (8*37^(1/2)+8)/6 or y = (8-8*37^(1/2))/6

(y-((8-8*37^(1/2))/6))*(y-((8*37^(1/2)+8)/6)) = 0

((y-((8-8*37^(1/2))/6))*(y-((8*37^(1/2)+8)/6)))/y = 0

((y-((8-8*37^(1/2))/6))*(y-((8*37^(1/2)+8)/6)))/y = 0 // * y

(y-((8-8*37^(1/2))/6))*(y-((8*37^(1/2)+8)/6)) = 0

( y-((8*37^(1/2)+8)/6) )

y-((8*37^(1/2)+8)/6) = 0 // + (8*37^(1/2)+8)/6

y = (8*37^(1/2)+8)/6

( y-((8-8*37^(1/2))/6) )

y-((8-8*37^(1/2))/6) = 0 // + (8-8*37^(1/2))/6

y = (8-8*37^(1/2))/6

y in { (8*37^(1/2)+8)/6, (8-8*37^(1/2))/6 }

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