(y-2/3)^2-1/9=0

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Solution for (y-2/3)^2-1/9=0 equation: 


y in (-oo:+oo)

(y-(2/3))^2-(1/9) = 0

(y-2/3)^2-1/9 = 0

(9*(y-2/3)^2)/9-1/9 = 0

9*(y-2/3)^2-1 = 0

9*y^2-12*y+3 = 0

9*y^2-12*y+3 = 0

3*(3*y^2-4*y+1) = 0

3*y^2-4*y+1 = 0

DELTA = (-4)^2-(1*3*4)

DELTA = 4

DELTA > 0

y = (4^(1/2)+4)/(2*3) or y = (4-4^(1/2))/(2*3)

y = 1 or y = 1/3

3*(y-1/3)*(y-1) = 0

(3*(y-1/3)*(y-1))/9 = 0

(3*(y-1/3)*(y-1))/9 = 0 // * 9

3*(y-1/3)*(y-1) = 0

( y-1/3 )

y-1/3 = 0 // + 1/3

y = 1/3

( y-1 )

y-1 = 0 // + 1

y = 1

y in { 1/3, 1 }

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