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Mathematics 7 Online
OpenStudy (anonymous):

What number would you add to the equation below to complete the square? x^2+6x=23 Do I add 9 to both sides?

OpenStudy (kainui):

Yep, you got it.

OpenStudy (kainui):

The point is to make part of it look like (x+3)^2 so that you can square root both sides to get the + and - roots.

OpenStudy (anonymous):

Thanks. I just Take the half of 6 and Square root it?

OpenStudy (kainui):

Almost, you take half of 6 and square it, not square root it.

OpenStudy (kainui):

If you foil out (x+3)(x+3) you get x^2+3x+3x+9 right? the 2 comes from having 2*(3x) terms.

OpenStudy (anonymous):

That's what I mean :D

OpenStudy (kainui):

Awesome =)

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