Question

If a+b+c=9 and ab+ BC+ ca= 26 find a²+b²+c²

Answer 1

Answer:

(a² + b² + c²) = 29

Step-by-step explanation:

We know the formula:

(a+b+c)² = a² + b² + c² + 2(ab+bc+ca)

Given:

a+b+c = 9 & ab+bc+ca = 26

Now putting the values in the above formula,

We get,

= (9)² = a² + b² + c² + 2×26

= 81 = (a² +b² +c²) + 52

= (a² +b²+c²) = 81-52

= (a² + b² + c²) = 29

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Answer 2

Step-by-step explanation:

(a+b+c)2=a2+b2+c2+2(ab+bc+ca)

(9)2=a2+b2+c2+2×26

or,a2+b2+c2=81-52

or,a2+b2+c2=29