(1/2y^2)+7/18=(32/9y)

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Solution for (1/2y^2)+7/18=(32/9y) equation: 


y in (-oo:+oo)

(1/2)*y^2+7/18 = (32/9)*y // - (32/9)*y

(1/2)*y^2-((32/9)*y)+7/18 = 0

(1/2)*y^2+(-32/9)*y+7/18 = 0

1/2*y^2-32/9*y+7/18 = 0

DELTA = (-32/9)^2-(7/18*1/2*4)

DELTA = 961/81

DELTA > 0

y = ((961/81)^(1/2)+32/9)/(1/2*2) or y = (32/9-(961/81)^(1/2))/(1/2*2)

y = 7 or y = 1/9

y in { 1/9, 7 }

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