Home » 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…

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