anonymous
  • anonymous
What number must you add to complete the square? x2 + 14x = -7 A. 196 B. 49 C. 7 D. 14
Mathematics
katieb
  • katieb
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myininaya
  • myininaya
\[x^2+bx+(b/2)^2=(x+b/2)^2\]
myininaya
  • myininaya
so add to both sides \[(b/2)^2 \] can you guess what b should be?
anonymous
  • anonymous
14x ?

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myininaya
  • myininaya
well b is just the 14 bx is 14x but our formula calls for just b which is 14
myininaya
  • myininaya
so plug 14 into that (b/2)^2 thing to figure out your answer as to what to add to both sides in order to complete the square
anonymous
  • anonymous
oh 196
myininaya
  • myininaya
no
myininaya
  • myininaya
\[(\frac{14}{2})^2 \] what is 14/2?
anonymous
  • anonymous
7 so the answer would be 49
myininaya
  • myininaya
\[(\frac{14}{2})^2=(7)^2=49\] right

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