Question

a + b = 22 , ab = 40 find a^2 + b^2

Answer 1

Answer:

a² + b² = 440

Step-by-step explanation:

We know, It is given that,

• Sum of a and b, a + b = 22
• Product of a and b, ab = 40

This problem can be solved using Splitting the middle term method.

It is a process of finding the pair number both as product and sum.

(Refer the attachment for the method)

Hence,

• a = 20
• b = 2

Squaring and adding :

→ a² = 20² = 400

→ b² = 2² = 4

→ a² + b²

→ 400 + 4

→ 440.

Hence, a = 20, b = 2 and squaring both, we get, a² + b² = 440.