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anonymous
 5 years ago
complete the square
z^2=16z64
anonymous
 5 years ago
complete the square z^2=16z64

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0try putting everything on one side. \[z^2 16z + 64 = 0\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You need to add half of the coefficient of z and square it (do it to both sides).\[z^216z=64 \rightarrow z^216z+(\frac{16}{2})^2=64+(\frac{16}{2})^2\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[z^216z+(8)^2=64+(8)^2\]You can read off the left now as:\[(z8)^2\]and the right is simply 0, so your equation becomes,\[(z8)^2=0\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Which means one solution for z, z=8.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0its suppose to be two answers so would it be 8,8??

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Well, not in this case, since the righthand side ended up being zero. When you take the square root of both sides, z8 = +/ 0 = 0 so z = 8. If you'd had, (z8)^2 = 7, for example, THEN you'd have two solutions:\[(z8)^2=7 \rightarrow z8=\pm \sqrt{7} \rightarrow z=8 \pm \sqrt{7}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0welcome :) hope you pass!
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