Question

if a square + b square = 13 ab= 6 find a+b. a- b. a square - b square​

Answer 1

Answer:

3(a+b) 2 −2(a−b) 2

We know,

(a+b)

2

=a

2

+b

2

+2ab

=13+2(6)

=13+12

=25

=>(a+b)=±

25

=>(a+b)=±5

Again,

(a−b) 2 =a 2 +b 2

−2ab

=13−2(6)

=13−12

=1

=>(a−b)=±1

Putting the values, we get,

3(±5)

2

−2(±1)

2

=75−2

=73