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

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
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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