(Y-2/3)^2=14

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Solution for (Y-2/3)^2=14 equation: 


Y in (-oo:+oo)

(Y-(2/3))^2 = 14 // - 14

(Y-(2/3))^2-14 = 0

(Y-2/3)^2-14 = 0

(Y-2/3)^2-14 = 0

Y^2-4/3*Y-122/9 = 0

Y^2-4/3*Y-122/9 = 0

Y^2-4/3*Y-122/9 = 0

DELTA = (-4/3)^2-(-122/9*1*4)

DELTA = 56

DELTA > 0

Y = (56^(1/2)+4/3)/(1*2) or Y = (4/3-56^(1/2))/(1*2)

Y = (2*14^(1/2)+4/3)/2 or Y = (4/3-2*14^(1/2))/2

(Y-((4/3-2*14^(1/2))/2))*(Y-((2*14^(1/2)+4/3)/2)) = 0

(Y-((4/3-2*14^(1/2))/2))*(Y-((2*14^(1/2)+4/3)/2)) = 0

( Y-((2*14^(1/2)+4/3)/2) )

Y-((2*14^(1/2)+4/3)/2) = 0 // + (2*14^(1/2)+4/3)/2

Y = (2*14^(1/2)+4/3)/2

( Y-((4/3-2*14^(1/2))/2) )

Y-((4/3-2*14^(1/2))/2) = 0 // + (4/3-2*14^(1/2))/2

Y = (4/3-2*14^(1/2))/2

Y in { (2*14^(1/2)+4/3)/2, (4/3-2*14^(1/2))/2 }

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