3y^2-6(6y-3/2)+6=0

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Solution for 3y^2-6(6y-3/2)+6=0 equation:


y in (-oo:+oo)

3*y^2-(6*(6*y-(3/2)))+6 = 0

3*y^2-6*(6*y-3/2)+6 = 0

3*y^2-6*(6*y-3/2)+6 = 0

3*y^2-36*y+6+9 = 0

3*y^2-36*y+15 = 0

3*y^2-36*y+15 = 0

3*(y^2-12*y+5) = 0

y^2-12*y+5 = 0

DELTA = (-12)^2-(1*4*5)

DELTA = 124

DELTA > 0

y = (124^(1/2)+12)/(1*2) or y = (12-124^(1/2))/(1*2)

y = (2*31^(1/2)+12)/2 or y = (12-2*31^(1/2))/2

3*(y-((12-2*31^(1/2))/2))*(y-((2*31^(1/2)+12)/2)) = 0

3*(y-((12-2*31^(1/2))/2))*(y-((2*31^(1/2)+12)/2)) = 0

( y-((12-2*31^(1/2))/2) )

y-((12-2*31^(1/2))/2) = 0 // + (12-2*31^(1/2))/2

y = (12-2*31^(1/2))/2

( y-((2*31^(1/2)+12)/2) )

y-((2*31^(1/2)+12)/2) = 0 // + (2*31^(1/2)+12)/2

y = (2*31^(1/2)+12)/2

y in { (12-2*31^(1/2))/2, (2*31^(1/2)+12)/2 }

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