Question

if a+b+c=9 and ab+bc+ca=26,then find a2+b2+c2. ​

Answer 1

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)

Please mark it as the brainliest

Answer 2

Answer:

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

= 9² - 2*26

= 81 - 52

= 29