m=x1+x2/2

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Solution for m=x1+x2/2 equation:


x in (-oo:+oo)

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

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

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

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

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

DELTA = 2*m+1

2*m+1 = 0

2*m+1 = 0 // - 1

2*m = -1 // : 2

m = -1/2

DELTA = 0 <=> t_1 = -1/2

x = 1/(-1/2*2) i m = -1/2

x = -1 i m = -1/2

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

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

m-(-1/2) > 0

m+1/2 > 0

m+1/2 > 0 // - 1/2

m > -1/2

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

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