Question

if a+b+c=9 and ab+bc+ca=26
find a²+b²+c²​

Answer 1

Answer:

ANSWER

Given, a+b+c=9 and ab+bc+ca=26.

We know, (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).

Putting the values here, we get,

(9)

2

=a

2

+b

2

+c

2

+2(26)

⇒81=a

2

+b

2

+c

2

+52

⇒a

2

+b

2

+c

2

=81−52=29.

Hence, option D is correct.

Answer 2

Step-by-step explanation:

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The above answer will surely help You....