2y^2-7/2=y/2

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Solution for 2y^2-7/2=y/2 equation: 


y in (-oo:+oo)

2*y^2-(7/2) = y/2 // - y/2

2*y^2-(y/2)-(7/2) = 0

2*y^2-(y/2)-7/2 = 0

2*y^2-1/2*y-7/2 = 0

DELTA = (-1/2)^2-(-7/2*2*4)

DELTA = 113/4

DELTA > 0

y = ((113/4)^(1/2)+1/2)/(2*2) or y = (1/2-(113/4)^(1/2))/(2*2)

y = ((113/4)^(1/2)+1/2)/4 or y = (1/2-(113/4)^(1/2))/4

y in { (1/2-(113/4)^(1/2))/4, ((113/4)^(1/2)+1/2)/4 }

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