y/9y+1+5/9y-1=10/81y^2-1

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Solution for y/9y+1+5/9y-1=10/81y^2-1 equation: 


y in (-oo:+oo)

(y/9)*y+(5/9)*y-1+1 = (10/81)*y^2-1 // - (10/81)*y^2-1

(y/9)*y-((10/81)*y^2)+(5/9)*y-1+1+1 = 0

(y/9)*y+(-10/81)*y^2+(5/9)*y-1+1+1 = 0

5/9*y-1/81*y^2+1 = 0

DELTA = (5/9)^2-(-1/81*1*4)

DELTA = 29/81

DELTA > 0

y = ((29/81)^(1/2)-5/9)/(-1/81*2) or y = (-(29/81)^(1/2)-5/9)/(-1/81*2)

y = -81/2*((29/81)^(1/2)-5/9) or y = 81/2*((29/81)^(1/2)+5/9)

y in { -81/2*((29/81)^(1/2)-5/9), 81/2*((29/81)^(1/2)+5/9) }

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