m^2/2=m+1/2

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Solution for m^2/2=m+1/2 equation: 


m in (-oo:+oo)

(m^2)/2 = m+1/2 // - m+1/2

(m^2)/2-m-(1/2) = 0

(m^2)/2-m-1/2 = 0

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

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

DELTA = 2

DELTA > 0

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

m = 2^(1/2)+1 or m = 1-2^(1/2)

m in { 1-2^(1/2), 2^(1/2)+1 }

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