Question

A 2 +b 2 +c 2 =ab+bc+ca=3 find the value of a+b+c

Answer 1

the answer of this question is 3

Answer 2

Answer:

(a + b + c) = 3 or  (a + b + c) =  -3

Step-by-step explanation:

By Algebraic Identity, we know that

$(a + b + c) ^{2}  =a^{2} +  b^{2}  + c^{2}  + 2(ab + bc + ac)$

Here, $a ^{2}  + b^{2} + c^{2}   = 3 , (ab + bc + ac) = 3$

putting these values in the identity, we get

$(a+ b + c)^{2}  = 3 + 2(3) = 3 + 6\\(a+ b + c)^{2}   = 9$

taking root both sides, we get

(a + b + c) = 3 or  (a + b + c) =  -3