Find a2+b2+c2 if a + b + c = 10 and ab + bc + ca = 35
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Answered by
3
Answer:
We know, (a+b+c)2=a2+b2+c2+2ab+2bc+2ca
(10)2=36+2(ab+bc+ca)
100−36=2(ab+bc+ca)
2(ab+bc+ca)=64
(ab+bc+ca)=32
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Answered by
0
Answer:
( a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac
(10)^2=a^2+b^2+c^2+2(ab+bc+ac)
100=a^2+b^2+c^2+2*35
a^2+b^2+c^2=100-70=30 ans.
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