1/5y^2=11/20y-1/4

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Solution for 1/5y^2=11/20y-1/4 equation: 


y in (-oo:+oo)

(1/5)*y^2 = (11/20)*y-(1/4) // - (11/20)*y-(1/4)

(1/5)*y^2-((11/20)*y)+1/4 = 0

(1/5)*y^2+(-11/20)*y+1/4 = 0

1/5*y^2-11/20*y+1/4 = 0

DELTA = (-11/20)^2-(1/5*1/4*4)

DELTA = 41/400

DELTA > 0

y = ((41/400)^(1/2)+11/20)/(1/5*2) or y = (11/20-(41/400)^(1/2))/(1/5*2)

y = 5/2*((41/400)^(1/2)+11/20) or y = 5/2*(11/20-(41/400)^(1/2))

y in { 5/2*(11/20-(41/400)^(1/2)), 5/2*((41/400)^(1/2)+11/20) }

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