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OpenStudy (lilkg77):
A. 16
B. 8
C. 2
D. 4
OpenStudy (welshfella):
Fist divide the coefficient of x ( which is 4) by 2.
then square the result.
what do you get?
OpenStudy (welshfella):
what is 4/2 ?
OpenStudy (welshfella):
I'm sure you can do that!
OpenStudy (lilkg77):
2
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OpenStudy (lilkg77):
@welshfella
OpenStudy (welshfella):
right now 2^2 = 4 right?
OpenStudy (lilkg77):
Yes
OpenStudy (welshfella):
so we put 2 in the parentheses and square it
(x + 2^2
then subtract the 4 we just worked out :-
(x +2)^2 - 4 = 3
now add 4 to both sides
(x + 2)^2 = 7
and we have completed the square!
OpenStudy (welshfella):
So your answer is D
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OpenStudy (lilkg77):
Thanks for the explanation and help @welshfella
OpenStudy (welshfella):
yw
OpenStudy (welshfella):
if you have anything like
x^2 - 8x for example
you divide the -8 by 2 so -4 goes into the squared parentheses and - 4^2 ( = -16) goes outside so in this case we have
x^2 - 8x = (x - 4)^2 - 16
OpenStudy (lilkg77):
Will this be the same steps?
OpenStudy (welshfella):
yes exactly the same
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OpenStudy (welshfella):
fist you divide + 8 by 2
OpenStudy (lilkg77):
4
OpenStudy (welshfella):
RIGHT NOW SQUARE THAT
OpenStudy (lilkg77):
16
OpenStudy (welshfella):
- and thats the number you add
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