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Question

if ab + bc + ca = 36 and a2  +  b  + c  = 85 then find a + b + c.


Solution

(a+b+c)² = a²+b²+c²+2ab+2bc+2ac

(a+b+c)² = 85 + 2(ab+bc+ac)
(a+b+c)² = 85 + 2(36)
(a+b+c)² = 157
a+b+c = √157 =12. 5299640861

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