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OpenStudy (anonymous):
Solve and check:
1= 7/a-2 - 28/a^2-4
(fractions)
a= ??
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OpenStudy (anonymous):
yikes
OpenStudy (anonymous):
\[1=\frac{7}{x-2}-\frac{28}{x^2-4}\] factor and add gives
\[1=\frac{7}{x-2}-\frac{28}{(x-2)(x+2)}=\frac{7(x+2)}{(x+2)(x-2)}+\frac{28}{(x-2)(x+2)}\]
OpenStudy (saifoo.khan):
Satellite to the rescue again!
OpenStudy (anonymous):
\[\frac{7x+42}{(x-2)(x+2)}=1\]
\[7x+42=x^2-4\]
\[x^2-7x+46=0\]
OpenStudy (anonymous):
a = - 2 l + 7 / l
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OpenStudy (anonymous):
Or was that a 1. Sorry,
OpenStudy (anonymous):
no real solution damn
OpenStudy (anonymous):
oh no i made a typo
\[x^2-7x-46=0\]
OpenStudy (saifoo.khan):
Damn^
OpenStudy (anonymous):
a =5?
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OpenStudy (anonymous):
i need quadratic formula for this one. did i make an error?
OpenStudy (anonymous):
i messed up some where. let me see where
OpenStudy (anonymous):
bush league error i made
OpenStudy (anonymous):
I think it's 5.
OpenStudy (anonymous):
\[1=\frac{7}{x-2}-\frac{28}{(x-2)(x+2)}=\frac{7(x+2)}{(x+2)(x-2)}-\frac{28}{(x-2)(x+2)}\]
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OpenStudy (anonymous):
i dropped the minus sign!
OpenStudy (saifoo.khan):
Damn^
OpenStudy (anonymous):
\[7x-14=x^2-4\]
\[x^2-7x+10=0\]
\[(x-2)(x-5)-0\] so
\[x=5\] because
\[x=2\] is not allowed (divide by zero and all)
OpenStudy (anonymous):
Did you get 5 too?
OpenStudy (anonymous):
oh lol just saw this. cool.
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