1/2y^2+7/8=32/9y

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Solution for 1/2y^2+7/8=32/9y equation: 


y in (-oo:+oo)

(1/2)*y^2+7/8 = (32/9)*y // - (32/9)*y

(1/2)*y^2-((32/9)*y)+7/8 = 0

(1/2)*y^2+(-32/9)*y+7/8 = 0

1/2*y^2-32/9*y+7/8 = 0

DELTA = (-32/9)^2-(1/2*7/8*4)

DELTA = 3529/324

DELTA > 0

y = ((3529/324)^(1/2)+32/9)/(1/2*2) or y = (32/9-(3529/324)^(1/2))/(1/2*2)

y = (3529/324)^(1/2)+32/9 or y = 32/9-(3529/324)^(1/2)

y in { 32/9-(3529/324)^(1/2), (3529/324)^(1/2)+32/9 }

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