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If a2 + b2 = 16 and 2ab = 7.Find all the possible values of...

Mathematics
JAMB 1990

If a2 + b2 = 16 and 2ab = 7.Find all the possible values of (a - b)
  • A. 3, -3
  • B. 2, -2
  • C. 1, -1
  • D. 3, -1
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Correct Answer: Option A
Explanation
a2 + b2 = 16 and 2ab = 7

To find all possible values = (a - b)2 + b2 - 2ab

Substituting the given values = (a - b)2

= 16 - 7

= 9

(a - b) = \(\pm\)9

= \(\pm\)3

OR a - b = 3, -3

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