Question

If a2 + b2 + c2 = 14 and a + b + c = 6, find ab + bc + ca.
If ab + bc + ca = 26 and a + b + c = 9, find a2 + b2 + c2.​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

a²+b²+c²=14

a+b+c=6

We know that

(a+b+c)²=a²+b²+c²+2(ab+bc+ca)

6²=14+2(ab+bc+ca)

36-14=2(ab+bc+ca)

22=2(ab+bc+ca)

22/2=ab+bc+ca

ab+bc+ca=11

ab+bc+ca=26

a+b+c=9

we know that

(a+b+c)²=a²+b²+c²+2(ab+bc+ca)

9²=a²+b²+c²+2×26

81=a²+b²+c²+52

a²+b²+c²=81-52

a²+b²+c²=29

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