♥If a+b+c =9 and ab+bc+ca=26 find a²+b²+c²
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Answered by
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We know the formula:
(a+b+c)² = a² + b² + c² + 2(ab+bc+ca)
Given:
a+b+c = 9 & ab+bc+ca = 26
Now putting the values in the above formula,
We get,
(9)² = a² + b² + c² + 2×26
81 = (a² +b² +c²) + 52
(a² +b²+c²) = 81-52
(a² + b² + c²) = 29 (Answer)
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