Asked by Hale
If a,b, and c are non-zero reals such that a + b + c = 11, and 1/a + 1/b + 1/c = 0, what is the value of a^2 + b^2 + c^2?
Answers
Answered by
black_widow
1/a + 1/b + 1/c = 0
bc+ac+ab = 0
a^2 + b^2 + c^2
=(a+b+c)^2 -2(ab+bc+ac)
=(11)^2-2(0)
=121
bc+ac+ab = 0
a^2 + b^2 + c^2
=(a+b+c)^2 -2(ab+bc+ac)
=(11)^2-2(0)
=121