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OpenStudy (nbarrera):
PLEASE HELP ME! WILL MEDAL U!
What number would you have to add to both sides to complete the square?
x^2 – 16x = –8
A. 64
B. –16
C. 16
D. –64
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OpenStudy (anonymous):
I believe it is -16
OpenStudy (narissa):
ask google
OpenStudy (nbarrera):
really?
OpenStudy (welshfella):
x^2 - 16x = (x -8) ^2 - k [its -8 because we take half of -16)
what do you think the value of k is?
OpenStudy (anonymous):
16
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OpenStudy (welshfella):
HInt: if we expand (x-8)^2 we get x^2 - 16x + 64
OpenStudy (nbarrera):
so 16?
OpenStudy (welshfella):
no not 16
OpenStudy (narissa):
@welshfella can i tag u and can u help me when ur finished here please
OpenStudy (welshfella):
ok
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OpenStudy (welshfella):
x^2 - 16x + 64 + k = x^2 - 16
k = ?
OpenStudy (nbarrera):
-8
OpenStudy (welshfella):
no
you need to get rid of the + 64 so as to make right side = x^2 - 16x
so what do you add to 64 to make 0?
OpenStudy (welshfella):
check out my last post
OpenStudy (nbarrera):
-64
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OpenStudy (welshfella):
yes!
thats your answer -64
OpenStudy (welshfella):
x^2 - 16x + 64 - 64 = x^2 - 16
OpenStudy (welshfella):
x^2 - 16x = -8
(x -8)^2 - 64 = -8 -64
(x - 8^2 = -8 - 64 + 64
(x -)8^2 = -8
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