pls answer this step by step
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Answer:
Given that p and q are the roots of x
2
+px+q=0
step by step
Then, using sum and product of roots, we have
p+q=−p
2p=−q ....(i)
pq=q ....(ii)
Putting the value of q in equation (ii), we get
p(−2p)=−2p
⇒2p
2
=2p
⇒p=1
Substituting this value in equation (i), we get
2(1)=−q
⇒q=−2
Thus p=1 and q=−2.
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