If \( a(p+q)^2+2bpq+c=0\) and \(a(p+r)^2+2bpr+c=0\) then qr = ?
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OpenStudy (anonymous):
can't wait to see this!
OpenStudy (diyadiya):
lol
OpenStudy (anonymous):
This is a perfect candidate for my problem of the day.
OpenStudy (anonymous):
Good one diya!
OpenStudy (diyadiya):
lol So how do i do it ?
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OpenStudy (anonymous):
Lol do you think I can answer everything just at sight? :P
OpenStudy (diyadiya):
i did :)
OpenStudy (anonymous):
Is it \(\huge \frac{(ap^2 + c) }{ a} \) ?
OpenStudy (diyadiya):
Yup =D
OpenStudy (anonymous):
gimmick is...?
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OpenStudy (anonymous):
Wo :D. It wasn't that hard as it look like :)
OpenStudy (anonymous):
\[ a(p+q)^2 + 2bpq + c = 0 \implies aq^2 + 2p(a+b)q + ap^2 + c = 0 \]
and
\[ a(p+r)^2 +2bpr + c = 0 \implies ar^2 + 2p(a+b)r + ap^2 + c = 0 \]
can you see the rest? ;)
OpenStudy (anonymous):
cool
OpenStudy (anonymous):
I agree sat :)
OpenStudy (diyadiya):
ok let me see..
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OpenStudy (anonymous):
Don't see, observe :D I have to go now. It's nice solving your problems :)
OpenStudy (diyadiya):
\[aq^2+2p(a+b)q=ar^2+2p(a+b)r\]
OpenStudy (anonymous):
\(q\) and \(r\) are the equation of \[ ax^2 + 2p(a+b)x + ap^2 + c = 0 \]
OpenStudy (diyadiya):
okay!
OpenStudy (diyadiya):
okay got it Thanks!!!
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OpenStudy (anonymous):
You are welcome, but I haven't done anything special.