Question
Download Solution PDFIf p @ q = p2 + q2 + 2pq, p # q = p2 - q2 - 2pq What is the value of (7 @ 2) # 4?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
p @ q = p2 + q2 + 2pq
p # q = p2 - q2 - 2pq
Calculation:
(7 @ 2) # 4
(7 @ 2)
⇒ 72 +22 + 2×7×2
⇒ 49 + 4 + 28
⇒ 81
Now,
81 # 4
⇒ 812 - 42 - 2×81×4
⇒ 6561 - 16 - 648
⇒ 6561 - 664
⇒ 5897
Thus, (7 @ 2) # 4 = 5897
∴ The correct answer is option (2).
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