ICSE Class 9 Answered
Question = find the value of :
P^2 +q^2 if p–q=6 and p+q=14
Asked by www.devparidpaa | 17 Apr, 2019, 03:54: PM
Expert Answer
p – q = 6 and p + q = 14 ....(i)
Consider,
(p + q)2 = (p - q)2 + 4pq
142 = 62 + 4pq
196 = 36 + 4pq
4pq = 160
pq = 40 ....(ii)
(p + q)2 = p2 + q2 + 2pq
142 = p2 + q2 + 2 × 40 from (i) and (ii)
p2 + q2 = 196 - 80 = 116
Answered by Sneha shidid | 17 Apr, 2019, 04:02: PM
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