Question

If a + b + c = 9 and ab + bc + ca = 26, find $A^{2} + B^{2} + C^{2}$

Answer 1

Answer:

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 (Answer)

Step-by-step explanation:

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Answer 2

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