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OpenStudy (anonymous):
\[81m^2-1\]
OpenStudy (anonymous):
wait which one, or both
OpenStudy (anonymous):
both plz!
OpenStudy (anonymous):
if you set them to zero
just have
18m^2 -1=0
18m^2 =1
m^2 = 1/18
\[m = \sqrt{1/18}\]
OpenStudy (anonymous):
so the same with the other you will have
\[(m - \sqrt{1/18})^{2}\]
and
\[(m - \sqrt{1/81})^{2}\]
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OpenStudy (anonymous):
THANKZ YOUZ!
OpenStudy (anonymous):
your welcome
OpenStudy (asnaseer):
@Davidjohn - I /think/ your last steps where you factorized the expressions has a mistake in it. I believe you can use the rule \(a^2-b^2=(a+b)(a-b)\) to get:\[81m^2-1=9^2m^2-1^2=(9m)^2-1^2=(9m+1)(9m-1)\]
OpenStudy (anonymous):
@asnaseer that makes a whole lot more sense!
OpenStudy (anonymous):
oh yeah, i generalized that one too much, youre right
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OpenStudy (anonymous):
but the answer would be right if expanded because it would simplify down and you could multiply them to get the same answer
OpenStudy (asnaseer):
glad I could help - and no worries @Davidjohn - we all make mistakes - that's what makes us human :-)
OpenStudy (anonymous):
ah except it would be plus or minus then, not just minus minus
OpenStudy (asnaseer):
\[(m - \sqrt{1/81})^{2}=m^2-2\sqrt{1/81}+1/81\]
OpenStudy (anonymous):
right my bad :) thanks for correcting
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OpenStudy (anonymous):
Woah... the first thing you showed me was a lot easier to understand...