Question

If A+B +C =5 and AB +BC + CA =10 Find A^2 + B^2 + C^2

Answer 1

Answer:

xycdcr Jct it in front TX us us all is so it's see to us so

Answer 2

Answer:

5

Step-by-step explanation:

Hey mate

the information given to us is as follows

A+B + C =5

AB +BC+ AC =10

TO FIND :$A^{2}+ B^{2} +C^{2}$

Now we know that:

$(A+B+C)^{2} = A^{2} +B^{2} +C^{2}+ 2AB + 2BC +2AC$

therefore

substituting the values given to us

$(5)^{2} = A^{2}+ B^{2}+C^{2} + 2(AB + BC +AC)\\(5)^{2} = A^{2}+ B^{2}+C^{2} + 2(10)\\\\A^{2}+ B^{2}+C^{2} = 25-20\\A^{2}+ B^{2}+C^{2}= 5$

Therefore your answer should be 5

Hope you got it mate !

:)