@Best_Mathematician
I don't have that in my answers
OpenStudy (anonymous):
or it should be \[\frac{ x(x+6)-5 }{ (x+5)(x-5) }\]
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OpenStudy (anonymous):
@Best_Mathematician
can u please check the choices and tell me which one is it
cause that's also non of the choices
OpenStudy (anonymous):
@amistre64
OpenStudy (anonymous):
@amistre64 I need ur help here plz
OpenStudy (amistre64):
it looks like they want you to decompose a fraction ....
OpenStudy (anonymous):
I think so
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OpenStudy (amistre64):
have we factored them yet?
OpenStudy (anonymous):
yes
OpenStudy (amistre64):
these old eyes cant locate it in the post, can you show me so that i can see if its factored correctly?
OpenStudy (anonymous):
the denominator would be (x-5)(x+5)
OpenStudy (anonymous):
I don't know the numerator
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OpenStudy (anonymous):
it's a multiable choice question
OpenStudy (amistre64):
i think you have a typo in the numerator
OpenStudy (anonymous):
sorry I didn't get it
OpenStudy (amistre64):
can you retype the numerator ... i think there might be a mistake in the one you posted
OpenStudy (anonymous):
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OpenStudy (amistre64):
not the options, the problem itself
OpenStudy (anonymous):
OpenStudy (amistre64):
ok, then we can proceed
OpenStudy (anonymous):
this is the equation
OpenStudy (anonymous):
so which answer do u think
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OpenStudy (amistre64):
lets split it up and try to recombine it
\[\frac{x^2-6x+5}{(x-5)(x+5)}=\frac{A}{(x-5)}+\frac{B}{(x+5)}\]
normally we would cross multiply A to B to "solve"
\[x^2-6x+5=A(x+5)+B(x-5)\]
\[x^2-6x+5=Ax+5A+Bx-5B\]
the problem im seeing is that there is no x^2 on the right to compare with
OpenStudy (amistre64):
if we simply go with the ropes on this
let x=5
\[\frac{5^2-6(5)+5}{\cancel{(x-5)(x+5)}}=\cancel{\frac{A}{(x-5)}}+\frac{B}{(5+5)}\]
\[B=10(25-30+5)=0\]
let x=-5
\[\frac{(-5)^2-6(-5)+5}{\cancel{(x-5)(x+5)}}=\frac{A}{(-5-5)}+\cancel{\frac{B}{(5+5)}}\]
\[A=-10(25+30+5)=-600\]
OpenStudy (amistre64):
and those aint options, so im thinking the problem is simply posted bad to begin with in you material