If a+b+c=0 and ab+bc+ca=26 find a^2+b^2+c^2
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Answer:
-52
Step-by-step explanation:
(a+b+c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)
(0)^2 = a^2 + b^2 + c^2 + 2(26)
0 = a^2 + b^2 + c^2 + 52
a^2 + b^2 + c^2 = -52
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