if p-q = 9 and pq = 36 find (p+q)
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1
Answer:
p-q=9
(p-q)²=9² (Squaring both sides LHS and RHS)
p²+q²-2pq = 81
p²+q²-2×(36)=81 (Substituting value of pq)
p²+q²-72=81 (Transferring -72 from LHS to RHS)
p²+q²=153
(p+q)²=p²+q²+2pq
(p+q)²=153+(2×36)
(p+q)²=153+72=225
(p+q)²=225
p+q=15
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7
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