Question on: JAMB Mathematics - 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 Option: A

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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