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what value of c makes the polynomial a perfect square x2+9x+c?
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11?
to be honest i really dont know, i dont even know where to start but i'm going to use your answero see if it's right
*to
is it x squared?
you divide 9 by 2 and square it. The technique is called Completing the Square.
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we want x^2 + 9x +c in the form of (a+b)^2
\[c = \big(\frac{9}{2}\big)^2\]
a^2 + 2ab + b^2 = (a+b)^2 similarly, x^2 +2.(9/2)x +(9/2)^2 = (x+9/2)^2 so, c=(9/2)^2
thanxx :)
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