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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
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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 =...
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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) ?
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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
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