Which value(s) must be excluded as a value of x in the polynomial?
(x - 2 / (x2 - 25)
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OpenStudy (anonymous):
so division by 0 is not alowed right ? so you have to find for which values of x you have division by 0 means to solve \[x^{2}-25=0\] can u do that ?
OpenStudy (anonymous):
lol no im stupid :/
OpenStudy (anonymous):
i can try
OpenStudy (anonymous):
nvm i basically forgot everything i learned this school year -,-
OpenStudy (anonymous):
if u dont know something doesnt mean ur stupid cmon xD so we have
\[x^{2}-25=0\]
if we add 25 to boths side of the equation we would have
\[x^{2}-25+25=0+25\]
which is
\[x^{2}=25\]
now we have square root of both side and we have
\[\sqrt{x^{2}}=\sqrt{25}\]
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OpenStudy (anonymous):
aw thank you lol
OpenStudy (anonymous):
do you know what values of x are excluded now ?
OpenStudy (anonymous):
if i say no will you hate me lol?
OpenStudy (anonymous):
no i will keep explaining until we get the answer :D
OpenStudy (anonymous):
okay thank you
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OpenStudy (anonymous):
\[\sqrt{x^{2}}=\sqrt{25}\]
ok so we have that , you know that square root of \[\sqrt{x^{2}} =x\]
and \[\sqrt{25}=5\]
so we get x=5 BUT we need to include x=-5 because \[(-5)^{2}=25\]
so our final answer is x=5 and x=-5 should be excluded
OpenStudy (anonymous):
so the final answer is x=5 ?
OpenStudy (anonymous):
and x=-5
OpenStudy (anonymous):
both are ur answer
OpenStudy (anonymous):
okay tysm :)!
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