If α and β are the zeroes of the polynomial ax2+ bx + c, find the value of α2 + β2
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Let alpha be 'p and beta be 'q' (just for the sake of writning)
we know , from the question that,
p+q =-b/a (1)
pq = c/a (2)
so, (p-q)2 = p2 + q2 - 2pq
=> (p+q)2 +2pq - 2pg
=> (p+)2 ( from (1) )
=>( -b/a)2 = b2/a2
=> b-a = b/a... Answer!
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