Question

a + b = 5 and ab = 6 find a^2 + b^2

Answer 1

Step-by-step explanation:

(a+b)

2

=a

2

+b

2

+2ab

=>a

2

+b

2

=(a+b)

2

−2ab

Given, a+b=5 and ab=6

So, a

2

+b

2

=(a+b)

2

−2ab=5

2

−2×6=25−12=13

Answer 2

Answer:

13

Step-by-step explanation:

(a+b)^2= a^2+b^2+2ab

a^2+b^2=(a+b)^2-2ab

= 5^2-2*6

=25-12=13

=13