a^2-1/5a-1/3=0

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Solution for a^2-1/5a-1/3=0 equation:


a in (-oo:+oo)

a^2-((1/5)*a)-(1/3) = 0

a^2+(-1/5)*a-1/3 = 0

a^2-1/5*a-1/3 = 0

DELTA = (-1/5)^2-(-1/3*1*4)

DELTA = 103/75

DELTA > 0

a = ((103/75)^(1/2)+1/5)/(1*2) or a = (1/5-(103/75)^(1/2))/(1*2)

a = ((103/75)^(1/2)+1/5)/2 or a = (1/5-(103/75)^(1/2))/2

a in { (1/5-(103/75)^(1/2))/2, ((103/75)^(1/2)+1/5)/2 }

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