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

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) = $\pm$9
= $\pm$3
OR a - b = 3, -3