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Mathematics 17 Online
OpenStudy (snowcrystal):

Help!!!

OpenStudy (snowcrystal):

Can someone explain this problem to me?

OpenStudy (snowcrystal):

Solve this equation by Completing the Square.

OpenStudy (snowcrystal):

\[x^2 + 6x -3=0\]

hartnn (hartnn):

ever solved problem of completing the square before ?

OpenStudy (snowcrystal):

nope

hartnn (hartnn):

ok, 1st step, Divide the co-efficient of 'x' by 2 whats the co-efficient of x here ?

OpenStudy (snowcrystal):

6

hartnn (hartnn):

yes! so dividing it by 2 gives us 3, right ?? Now step 2: Add 3 on both sides, what do u get ?

OpenStudy (snowcrystal):

\[x^2 =3\]

hartnn (hartnn):

sorry :P step 2 : was to SQUARE the co-efficient! so, do, 3^2 =...

OpenStudy (snowcrystal):

9

OpenStudy (snowcrystal):

what do i do next

hartnn (hartnn):

sorry for late reply. step 3 : was actually adding the answer of step 2 on both sides. so, \(\large x^2+6x+9 -3 =+9\) got this ?

OpenStudy (snowcrystal):

i think so

hartnn (hartnn):

then add 3 on both sides to isolate (x^2+6x+9) do you notice anything about (x^2+6x+9) ?

OpenStudy (snowcrystal):

\[x^2 +6x +6 =9\]

OpenStudy (snowcrystal):

hmmm ya arnt i supposed to subtract the 9 and 3?

hartnn (hartnn):

adding 3 on both sides first, \(x^2+6x+9 = 3+9 \\ so, x^2+6x+9 = 12\) got this ? the whole point was to get, x^2+6x+9 ...which is a perfect square! (hence the name of the method is 'completing the square')

OpenStudy (snowcrystal):

ohhhhhh

OpenStudy (snowcrystal):

i got it now

OpenStudy (snowcrystal):

thanks

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