Find a2+b2+c2 if a + b + c = 10 and ab + bc + ca = 35
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Answer:
we know that
(a+b+c)² = a²+b²+c²+ 2(ab+bc+ca)
Putting the respective values
(10)² = a²+b²+c² + 2(35)
100 = a²+b²+c² + 70
a²+b²+c² = 100-70
a²+b²+c² = 30
30 is the answer
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