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11. Find the quadratic polynonial whose neroes aresqoare ef the aeroes of spolynomial |
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Answer» let,zeroes of the polynomial x^2-x-1 be p and q. i.e. x^2-(p+q)x-(pq)=0 =>pq=-1 and p+q=1, now according to the given condition,=>p^2q^2=1 and P^2+q^2=(p+q)^2–2pq=(1)-2(-1)=3, so the new equation will be,x^2-(p^2+q^2)x+(p^2q^2)=0 =>x^2–3x+1=0 |
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