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LoginForming a quadratic equation with the given roots
Course Queries Syllabus Queries 2 years ago
Posted on 16 Aug 2022, this text provides information on Syllabus Queries related to Course Queries. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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Best Answer
2 years ago
Question: If p2qp2q and q2pq2p are the roots of the equation 2x2+7x−4=02x2+7x−4=0, find the equation whose roots are pp and qq(p+qp+q is real).
My attempt: The required equation is x2−(p+q)x+pqx2−(p+q)x+pq
(p2q)(q2p)=−42(p2q)(q2p)=−42
pq=−2pq=−2