Question

If a+b=6 and ab = 7 then a² + b² =​

Answer 1

The value of a² + b² is 22

Explanation:

Given:

1. a+b =6

2. ab = 7

To find:

a² + b²

Formula:

a² + b² = (a +b)² -2ab

Solution:

==> a+b = 6

==> ab =7

==> Apply the values in the formula

==> a² + b² = (a +b)² -2ab

==> a² + b² = (6)² -2(7)

==> a² + b² = 36 -2(7)

==> a² + b² = 36 -14

==> a² + b² = 22

The value of a² + b² is 22