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x in (-oo:+oo)
(5/2)*y = x^2*(y+5) // - x^2*(y+5)
(5/2)*y-(x^2*(y+5)) = 0
(5*y)/2-1*x^2*(y+5) = 0
(-1*2*x^2*(y+5))/2+(5*y)/2 = 0
5*y-1*2*x^2*(y+5) = 0
5*y-10*x^2-2*x^2*y = 0
5*y-10*x^2-2*x^2*y = 0
5*y-10*x^2 = 0
DELTA = 0^2-(-10*4*5*y)
DELTA = 200*y
200*y = 0
200*y = 0 // : 200
y = 0
DELTA = 0 <=> t_1 = 0
x = 0/(-10*2) i y = 0
x = 0 i y = 0
( x = ((200*y)^(1/2)+0)/(-10*2) or x = (0-(200*y)^(1/2))/(-10*2) ) i y > 0
( x = (-1/2)*2^(1/2)*y^(1/2) or x = (1/2)*2^(1/2)*y^(1/2) ) i y > 0
y+0 > 0
y > 0
y+0 > 0 // - 0
y > 0
x*(x+1/2*(-2^(1/2))*y^(1/2))*(x+1/2*2^(1/2)*y^(1/2)) = 0
(x*(x+1/2*(-2^(1/2))*y^(1/2))*(x+1/2*2^(1/2)*y^(1/2)))/2 = 0
(x*(x+1/2*(-2^(1/2))*y^(1/2))*(x+1/2*2^(1/2)*y^(1/2)))/2 = 0 // * 2
x*(x+1/2*(-2^(1/2))*y^(1/2))*(x+1/2*2^(1/2)*y^(1/2)) = 0
( x+1/2*(-2^(1/2))*y^(1/2) )
x+1/2*(-2^(1/2))*y^(1/2) = 0 // - 1/2*(-2^(1/2))*y^(1/2)
x = -(1/2*(-2^(1/2))*y^(1/2))
x = -1/2*2^(1/2)*y^(1/2)
( x+1/2*2^(1/2)*y^(1/2) )
x+1/2*2^(1/2)*y^(1/2) = 0 // - 1/2*2^(1/2)*y^(1/2)
x = -(1/2*2^(1/2)*y^(1/2))
x = -1/2*2^(1/2)*y^(1/2)
( x )
x = 0
x in { -1/2*2^(1/2)*y^(1/2), -1/2*2^(1/2)*y^(1/2), 0 }
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