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Question

If a + b + c = 9 and ab + bc + ca = 15, find : a^2 + b^2 + c^2.

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Solution

Since (a+b+c)2=a2+b2+c2+2(ab+bc+ca)(9)2=a2+b2+c2+2(15)81=a2+b2+c2+30a2+b2+c2=8130=51.


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