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Best Answer
X^2 + 24X = 50
you halve the linear term, square it and add it to both sides
X^2 + 24X + 144 = 50 + 144
factor the left side; gather terms on the right
(X + 12)^2 = 194
(X + 12)^2 - 194 = 0
so, either 144 is your number, or 194 is.
Sounds as a silly question to me as you complete the square to get the vertex of the polynomial. Which is;
(12,- 194) = wrong!!
Woops! Wrong! Made fudemental mistake! [ (- 12 + 12 ) = 0!! ] So, the vertex is;
(- 12, - 194 )
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