Question

If a2 + b2 = 41 and ab =4 , find : a-b

Answer 1

(a-b)2= a2+b2- 2ab
a-b=√33

Answer 2

Answer:

Given that,

• a² + b² = 41
• ab = 4

We know that,

⇒ (a-b)² = a² + b² - 2ab

Substituting the known information in the above equation we get:

⇒ (a-b)² = 41 - 2(4)

⇒ (a-b)² = 41 - 8

⇒ (a-b)² = 33

But since we need the value of (a-b), we take square root on both sides. Hence we get:

⇒ (a-b) = √33

Hence the required answer is √33