Problema Solution
Prove that if a, b, and c are real numbers such that a^2+b^2+c^2=0, then a=0, b=0 and c=0.
Answer provided by our tutors
Suppose for contradiction that a or b or c >0.
WLOG let a>0.
So a^2>0
Since b^2>=0, c^2>= 0
so
a^2+b^2+c^2>0
Contradiction.
So a=b=c=0 as required.