Question

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

Answer 1

Answer:

Using formula.

a²+b²+c²+2ab+2bc+2ca =(a+b+c) ²

Step-by-step explanation:

Using above equation

And susbitute all given values

a²+b²+c²+2ab+2bc+2ca =(a+b+c) ²

We have to find a²+b²+c², so take 2ab+2bc+2ca to the other side with like.

a²+b²+c²= (a+b+c)² - 2(ab +bc + ca) eq1

Now putting values on eq 1

a²+b²+c²= (9)² + 2(26)

= (81) + (52)

= 133

So a²+b²+c²= 133