If p + q = 12 and pq - 22, then find p^2+q^2 and p^2 - q^2
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p²+q²=100
Step-by-step explanation:
condition 1.)Given information: p + q = 12 and pq = 22.
Using algebraic property:
(p+q)^2=p^2+2pq+q^2
(12)^2=p^2+2(22)+q^2
144=p^2+44+q^2
144-44=p^2+q^2
100=p^2+q^2.
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