(x2)=(1/5)-x

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Solution for (x2)=(1/5)-x equation:


x in (-oo:+oo)

x^2 = 1/5-x // - 1/5-x

x^2+x-(1/5) = 0

x^2+x-1/5 = 0

x^2+x-1/5 = 0

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

DELTA = 9/5

DELTA > 0

x = ((9/5)^(1/2)-1)/(1*2) or x = (-(9/5)^(1/2)-1)/(1*2)

x = ((9/5)^(1/2)-1)/2 or x = (-((9/5)^(1/2)+1))/2

x in { (-((9/5)^(1/2)+1))/2, ((9/5)^(1/2)-1)/2 }

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