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Mathematics 20 Online
OpenStudy (cheesecakekitten):

Easy Medal

OpenStudy (cheesecakekitten):

What number should be added to the expression to change it into a perfect square trinomial? \[x^2+14x\] A. 7 B. 14 C. 28 D. 49

OpenStudy (cheesecakekitten):

That didn't really help...

OpenStudy (cheesecakekitten):

not to be rude..

OpenStudy (anonymous):

Basically, the third term in a perfect trinominal has to be a perfect square.

OpenStudy (mathmale):

":What number should be added to the expression to change it into a perfect square trinomial? x^2+14x " You need to apply the procedure of "completing the square" here. Given x^2 + bx, 1) Take (1/2) of b: (b/2). What is (1/2) of b in this case (b=14)? 2) Square your result. In other words, square (b/2) 3) Add your result [ (b/2)^2 ] to x^2 + bx and then subtract the same thing. 4) Re-write the left 3 terms as the square of a binomial. Try it, please. What is 14/2? What is (14/2)^2?

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