Mathematics
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OpenStudy (anonymous):
if p and q are the roots of X^2 + 2px +q-6=0 the value of p equals?
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OpenStudy (anonymous):
use the property of sum of roots and product of roots...it is in class 10 syllabus
OpenStudy (anonymous):
yes i used but not getting
OpenStudy (anonymous):
sum=-b/a product= c/a
OpenStudy (anonymous):
ok..what is a,band c here??
OpenStudy (anonymous):
it is ax^2 + bx +c
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OpenStudy (anonymous):
so put the values in equation..where are u finding problem??
OpenStudy (anonymous):
p+q=-2p pq=q-6
OpenStudy (anonymous):
is that correct
OpenStudy (anonymous):
i am stuck at next step
OpenStudy (anonymous):
yes looks so..is q=-19/3
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OpenStudy (anonymous):
from pq=q-6 q=q-6/p...
OpenStudy (anonymous):
we have to find the value of p..
OpenStudy (anonymous):
oh it was q=-9 so p=5/3 i think..
OpenStudy (anonymous):
the answer is -1 , 2
OpenStudy (anonymous):
\[x ^{2}+(\alpha + \beta)x + \alpha \beta\]...
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OpenStudy (anonymous):
@satellite73 plzz help
OpenStudy (anonymous):
plzz antone solve for it....
jhonyy9 (jhonyy9):
so than p+q=-2p and p*q=q-6
p+q=-2p
p*q=q-6
- so just you need to solve this system for q and p
OpenStudy (anonymous):
\[p+q=-2p\]
\[pq=q-6\]
OpenStudy (anonymous):
first one gives \(q=-3p\)
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
then too the eq is in p and q
OpenStudy (anonymous):
-3p^2=q-6
OpenStudy (maheshmeghwal9):
who will put q=-3p in r.h.s
OpenStudy (anonymous):
substitute in to second one get
\[-3p^2=-3p-6\]
\[3p^2-3p-6=0\]
\[3(p^2-p-2)=0\]
\[(p-2)(p+1)=0\]
\[p=2, p=-1\]
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OpenStudy (anonymous):
probably easier to solve using quadratic formula or easier still to complete the square
OpenStudy (maheshmeghwal9):
I think u should get it now @shameer1
OpenStudy (anonymous):
ok