X+11=(X^2-26X+169)/2

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Solution for X+11=(X^2-26X+169)/2 equation: 


X in (-oo:+oo)

X+11 = (X^2-(26*X)+169)/2 // - (X^2-(26*X)+169)/2

X-((X^2-(26*X)+169)/2)+11 = 0

X-((X^2-26*X+169)/2)+11 = 0

(-1*(X^2-26*X+169))/2+X+11 = 0

(-1*(X^2-26*X+169))/2+(2*X)/2+(2*11)/2 = 0

2*X-1*(X^2-26*X+169)+2*11 = 0

28*X-X^2-169+22 = 0

28*X-X^2-147 = 0

28*X-X^2-147 = 0

28*X-X^2-147 = 0

DELTA = 28^2-(-147*(-1)*4)

DELTA = 196

DELTA > 0

X = (196^(1/2)-28)/(-1*2) or X = (-196^(1/2)-28)/(-1*2)

X = 7 or X = 21

(X-7)*(X-21) = 0

((X-7)*(X-21))/2 = 0

((X-7)*(X-21))/2 = 0 // * 2

(X-7)*(X-21) = 0

( X-21 )

X-21 = 0 // + 21

X = 21

( X-7 )

X-7 = 0 // + 7

X = 7

X in { 21, 7 }

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