3w^2-3/4w=1/2

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Solution for 3w^2-3/4w=1/2 equation: 


w in (-oo:+oo)

3*w^2-((3/4)*w) = 1/2 // - 1/2

3*w^2-((3/4)*w)-(1/2) = 0

3*w^2+(-3/4)*w-1/2 = 0

3*w^2-3/4*w-1/2 = 0

DELTA = (-3/4)^2-(-1/2*3*4)

DELTA = 105/16

DELTA > 0

w = ((105/16)^(1/2)+3/4)/(2*3) or w = (3/4-(105/16)^(1/2))/(2*3)

w = ((105/16)^(1/2)+3/4)/6 or w = (3/4-(105/16)^(1/2))/6

w in { (3/4-(105/16)^(1/2))/6, ((105/16)^(1/2)+3/4)/6 }

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