Question

If a²+b²+c²=35 and ab+bc+ca=23; find a+b+c​

Answer 1

Step-by-step explanation:

We know,

(a+b+c)

2

=a

2

+b

2

+c

2

+2ab+2bc+2ca

Given,

a

2

+b

2

+c

2

=35 and

ab+bc+ca=23

Therefore,

=>(a+b+c)

2

=35+2(23)

=>(a+b+c)

2

=35+46

=>(a+b+c)

2

=81

=>(a+b+c)=

81

=>(a+b+c)=±9