m^2/6=m+5/6

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Solution for m^2/6=m+5/6 equation:


m in (-oo:+oo)

(m^2)/6 = m+5/6 // - m+5/6

(m^2)/6-m-(5/6) = 0

(m^2)/6-m-5/6 = 0

1/6*m^2-m-5/6 = 0

DELTA = (-1)^2-(-5/6*1/6*4)

DELTA = 14/9

DELTA > 0

m = ((14/9)^(1/2)+1)/(1/6*2) or m = (1-(14/9)^(1/2))/(1/6*2)

m = 3*((14/9)^(1/2)+1) or m = 3*(1-(14/9)^(1/2))

m in { 3*(1-(14/9)^(1/2)), 3*((14/9)^(1/2)+1) }

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