If a2 + b2 = 16 and 2ab = 7.Find all the possible values of (a - b)

Assessment: JAMB UTME - Mathematics - 1990 Subject: General Mathematics

Question 1 Report

If a2 + b2 = 16 and 2ab = 7.Find all the possible values of (a - b)
Answer Details
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) =  ± 9
=  ± 3
OR a - b = 3, -3

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