Question

if a+b+c=9 and ab+bc+ca=35, then this is the value of a$a^2+b^2+c^2$ answer only if you are sure about it

Answer 1

Step-by-step explanation:

ANSWER

Formula,

(a+b+c)

2

=a

2

+b

2

+c

2

+2ab+2bc+2ca

⇒(a+b+c)

2

=a

2

+b

2

+c

2

+2(ab+bc+ca)

Given,

ab+bc+ca=10,a

2

+b

2

+c

2

=16

⇒(a+b+c)

2

=16+2(10)

a+b+c=

16+20

=6