Perfect Squares

maemeee

New member
Joined
Sep 28, 2006
Messages
1
I need help completing the square. Example X2 + 24 I don't know how to get a perfer square using 24 there is no square of 24. Can you HELP!!!!! I am confused. :cry:
 

skeeter

Senior Member
Joined
Dec 15, 2005
Messages
2,396
I am confused
so am I ... you don't complete the square of an expression like x<sup>2</sup> + 24, one with a quadratic term and a constant term.

if, however, you meant the expression to be x<sup>2</sup> + 24x ...

x<sup>2</sup> + 24x

divide the coefficient of the linear term in half ... square the result. Add and subtract the result from the expression ...

x<sup>2</sup> + 24x + 144 - 144

the first three terms are now a perfect square trinomial ... write it in factored form

(x + 12)<sup>2</sup> - 144

you're done.
 
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