1/2y^2=4y-2

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


y in (-oo:+oo)

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

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

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

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

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

DELTA = 12

DELTA > 0

y = (12^(1/2)+4)/(1/2*2) or y = (4-12^(1/2))/(1/2*2)

y = 2*3^(1/2)+4 or y = 4-2*3^(1/2)

y in { 4-2*3^(1/2), 2*3^(1/2)+4 }

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