Question

If a+b=5 and a-b=3, then find (a² +b²) = ?​

Answer 1

a - b = 5

a = 5 - b .......(1)

substituting the value of a in another equation

a - b = 3

5 - 2b = 3

b = -2/-2

b = 1

a = 4

now,

a² + b² = 4² + 1²

= 16 + 1

= 17