Question

if a+b+c=9 and ab+bc+ca=29 the a^2+b^2+c^2

Answer 1

Answer:

23

Step-by-step explanation:

(a+b+c)²=a²+b²+c²+2ab+2bc+2ca

⇒9²=a²+b²+c²+2(ab+bc+ca)

⇒81=a²+b²+c²+2×29

⇒a²+b²+c²=81-58

⇒a²+b²+c²=23