Mathematics
7 Online
OpenStudy (anonymous):
who is good with completing squares
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OpenStudy (anonymous):
I can help
OpenStudy (anonymous):
really
OpenStudy (anonymous):
really
OpenStudy (anonymous):
thanks so i have this equation x^2+4x=7
OpenStudy (anonymous):
Trick to completing a square is taking half of the middle term(one with the x) and squaring it
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OpenStudy (anonymous):
so 16 or divide by 2 then square?
OpenStudy (anonymous):
So our middle term is 4; half is 2; square that and we get 4
OpenStudy (anonymous):
yes 4 then from there?
OpenStudy (anonymous):
If you add a number of one side of the equation, You MUST also add the same number to other side
OpenStudy (anonymous):
x^2+4x+4=7+4
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OpenStudy (anonymous):
x^2+4x+4=11?
OpenStudy (anonymous):
Yes
OpenStudy (anonymous):
that would be my answer?
OpenStudy (anonymous):
Now we can write x^2+4x+4 as
(x+2)^2
So our equation would be
(x+2)^2=11
OpenStudy (anonymous):
okay so if its x^2-4x=1 it would be x^2-4x-4=1-4?
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OpenStudy (anonymous):
no,
take -4,and half it-- you should get -2 --> Square that, what would you get?
OpenStudy (anonymous):
ahhhhhhhhhh..
OpenStudy (anonymous):
-2^2 =4
OpenStudy (anonymous):
Yes positive 4, not negative
OpenStudy (anonymous):
okay so new equation x^2-4x+4=1+4
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OpenStudy (anonymous):
Yes
OpenStudy (anonymous):
yay!!!!
OpenStudy (anonymous):
you can factor
x^2-4x+4 into
(x-2)^2
OpenStudy (anonymous):
sooo what about the 5 (1+4)...
im a little slow on math.
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OpenStudy (anonymous):
yes that's on other side of equation
(x-2)^2=5
OpenStudy (anonymous):
so the question asks what number mus i add to complete the square it would be positive 4 correct?
OpenStudy (anonymous):
no?
OpenStudy (anonymous):
Yes
OpenStudy (anonymous):
thank you!
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OpenStudy (anonymous):
You're welcome