Question

Find a + b + c if a2
+ b2
+ c2
= 49 and ab + bc + ca = 36.

Answer 1

Step-by-step explanation:

${(a + b + c)}^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2( ab + bc + ca) \\ {(a + b + c)}^{2} = 49 + 2(36) \: \: \: \: \: \: \: \: \: \: \: \: \\ = 49 + 72 \\ = 121 \\ a + b + c = 11$

Answer 2

Step-by-step explanation:

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