5y^2/(30y+y^2)

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Solution for 5y^2/(30y+y^2) equation: 


D( y )

y^2+30*y = 0

y^2+30*y = 0

y^2+30*y = 0

y^2+30*y = 0

DELTA = 30^2-(0*1*4)

DELTA = 900

DELTA > 0

y = (900^(1/2)-30)/(1*2) or y = (-900^(1/2)-30)/(1*2)

y = 0 or y = -30

y in (-oo:-30) U (-30:0) U (0:+oo)

(5*y^2)/(y^2+30*y) = 0

y^2+30*y = 0

y*(y+30) = 0

y+30 = 0 // - 30

y = -30

y*(y+30) = 0

(5*y^2)/(y*(y+30)) = 0

5*y^2 = 0 // : 5

y^2 = 0

y = 0

y in { 0} 

y belongs to the empty set

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