Question

If a+b+c=9 and ab + bc + ca = 23, find a2 + b2 + c2.​

Answer 1

Answer: a²+b²+c² = 35

Step-by-step explanation:

Given, a+b+c = 9 and ab+bc+ac = 23

To find a²+b²+c² , we can use the formula,

(a+b+c)² = a²+b²+c²+2(ab+bc+ac)

=> (a+b+c)² - 2(ab+bc+ac) = a²+b²+c²

=> a²+b²+c² = 9² - 2*23 = 81 - 46 = 35

Therefore, a²+b²+c² = 35

Please brainlist my answer, if helpful!