4/11w=19/22-w^2

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Solution for 4/11w=19/22-w^2 equation: 


w in (-oo:+oo)

(4/11)*w = 19/22-w^2 // - 19/22-w^2

w^2+(4/11)*w-(19/22) = 0

w^2+(4/11)*w-19/22 = 0

w^2+4/11*w-19/22 = 0

DELTA = (4/11)^2-(-19/22*1*4)

DELTA = 434/121

DELTA > 0

w = ((434/121)^(1/2)-4/11)/(1*2) or w = (-(434/121)^(1/2)-4/11)/(1*2)

w = ((434/121)^(1/2)-4/11)/2 or w = (-((434/121)^(1/2)+4/11))/2

w in { (-((434/121)^(1/2)+4/11))/2, ((434/121)^(1/2)-4/11)/2 }

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