1/2y^2-1/4=1/4y

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Solution for 1/2y^2-1/4=1/4y equation: 


y in (-oo:+oo)

(1/2)*y^2-(1/4) = (1/4)*y // - (1/4)*y

(1/2)*y^2-((1/4)*y)-(1/4) = 0

(1/2)*y^2+(-1/4)*y-1/4 = 0

1/2*y^2-1/4*y-1/4 = 0

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

DELTA = 9/16

DELTA > 0

y = ((9/16)^(1/2)+1/4)/(1/2*2) or y = (1/4-(9/16)^(1/2))/(1/2*2)

y = 1 or y = -1/2

y in { -1/2, 1 }

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