y/y^2-5y

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Solution for y/y^2-5y equation: 


D( y )

y^2 = 0

y^2 = 0

y^2 = 0

1*y^2 = 0 // : 1

y^2 = 0

y = 0

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

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

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

1*y^-1-5*y^1 = 0

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

y^1*(1*y^0-5*y^2) = 0

y^1

1-5*y^2 = 0

1-5*y^2 = 0

DELTA = 0^2-(-5*1*4)

DELTA = 20

DELTA > 0

y = (20^(1/2)+0)/(-5*2) or y = (0-20^(1/2))/(-5*2)

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

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

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

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