Find the value of a² + b², when a – b = 3 and ab = 5?
Find the value of a² + b², when a – b = 3 and ab = 5?
Explanation
To find the value of a² + b²:
Use the identity:
a² + b² = (a - b)² + 2ab
Given a - b = 3 and ab = 5:
a² + b² = (3)² + 2(5)
= 9 + 10
= 19