anonymous
  • anonymous
(w-4)^2=2w^2-7w-4
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
w as in complex a+bi
anonymous
  • anonymous
?
anonymous
  • anonymous
It just says solve for w. Is that what you mean?

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anonymous
  • anonymous
okey then I guess it's not complex
anonymous
  • anonymous
Well then you start by distrubuting the left term, do you know how to do that?
anonymous
  • anonymous
yes? w^2-4^2?
anonymous
  • anonymous
Not exactly don't forget that:\[(a+b)^{2}=a^{2}+2ab+b ^{2}\]
anonymous
  • anonymous
\[w ^{2}-8w+16 =2w ^{2}-7w-4\]
anonymous
  • anonymous
\[-w ^{2}-w+20=0\]
anonymous
  • anonymous
\[w ^{2}+w-20=0\]
anonymous
  • anonymous
\[w= \frac{ 1 }{ 2 } \pm \sqrt{\frac{ 1^{2} }{ 2^{2}}+20}\]
anonymous
  • anonymous
\[w= \frac{ 1 }{ 2 } \pm \sqrt{\frac{ 81 }{4 }} = \frac{ 1 }{ 2 } \pm \frac{ 9 }{ 2 }\]
anonymous
  • anonymous
The two solutions which satisfies the equation are \[w _{1}=5; w _{2}=-4\]

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