what is If p + q = 12 and pq = 22, then find p power2 + q power 2
Answers
Answered by
2
Answer:
100
Step-by-step explanation:
p+q = 12
pq = 22
(p+q)² = p² + q² + 2pq
(12)² = p²+q²+44
144-44 = p²+q²
100 = p²+q²
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Answered by
0
Answer:
100
Step-by-step explanation:
p+q= 12 and pq= 22
We know the identity that
(p+q)^2 = p^2 +q^2 + 2pq
12^2 = p^2+q^2+2(22)
144 = p^2+q^2 +44
144-44 = p^2+q^2
Hence p^2 + q^2 = 100
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