Question

If a + b + c = 12 and ab + bc + ca = 22, find a2

+ b2

+ c2

using identities​

Answer 1

Answer:

100

Step-by-step explanation:

a+b+c=12

square on both sides

(a+b+c)^2=(12)^2

a^2+b^2+c^2+2ab+2bc-2ca=144

a^2+b^2+c^2+2(ab+bc+ca)=144

now,

a^2+b^2+c^2+2(22)=144

a^2+b^2+c^2=144-44

a^2+b^2+c^2=100