x^2/2y+y/2-y+2a=0

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Solution for x^2/2y+y/2-y+2a=0 equation:


x in (-oo:+oo)

2*a+((x^2)/2)*y+y/2-y = 0

1/2*x^2*y = -(2*a-1/2*y) // : 1/2*y

x^2 = -2*y^-1*(2*a-1/2*y)

x^2 = -2*y^-1*(2*a-1/2*y) // ^ 1/2

abs(x) = (-2)^(1/2)*y^(-1/2)*(2*a-1/2*y)^(1/2)

x = (-2)^(1/2)*y^(-1/2)*(2*a-1/2*y)^(1/2) or x = -((-2)^(1/2)*y^(-1/2)*(2*a-1/2*y)^(1/2))

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

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