CBSE Class 10 Answered
if alpha,beta are the zeroes of xsquare +px +q. then find the polynomial having 1/alpha and 1/beta as its zeroes
Asked by ajayrath7 | 15 Mar, 2019, 08:15: PM
Expert Answer
given polynomial : x2 + px + q = 0 ....................................(1)
if α and β are the roots of polynomial, then we have, x2 - (α + β)x + ( αβ ) = 0 .................................(2)
by comparing (1) and (2), we have (α + β) = - p and α β = q
if 1/α and 1/β are the roots of polynomial, then we have,
hence polynomial q x2 + p x + 1 = 0 have roots 1/α and 1/β
Answered by Thiyagarajan K | 15 Mar, 2019, 11:16: PM
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