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

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


D( y )

y = 0

y = 0

y = 0

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

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

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

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

5*y^2-5*y-125 = 0

5*y^2-5*y-125 = 0

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

y^2-y-25 = 0

DELTA = (-1)^2-(-25*1*4)

DELTA = 101

DELTA > 0

y = (101^(1/2)+1)/(1*2) or y = (1-101^(1/2))/(1*2)

y = (101^(1/2)+1)/2 or y = (1-101^(1/2))/2

5*(y-((1-101^(1/2))/2))*(y-((101^(1/2)+1)/2)) = 0

(5*(y-((1-101^(1/2))/2))*(y-((101^(1/2)+1)/2)))/y = 0

(5*(y-((1-101^(1/2))/2))*(y-((101^(1/2)+1)/2)))/y = 0 // * y

5*(y-((1-101^(1/2))/2))*(y-((101^(1/2)+1)/2)) = 0

( y-((1-101^(1/2))/2) )

y-((1-101^(1/2))/2) = 0 // + (1-101^(1/2))/2

y = (1-101^(1/2))/2

( y-((101^(1/2)+1)/2) )

y-((101^(1/2)+1)/2) = 0 // + (101^(1/2)+1)/2

y = (101^(1/2)+1)/2

y in { (1-101^(1/2))/2, (101^(1/2)+1)/2 }

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