If a+b+c=13 and ab+bc+ca= 6, find the value of a² +b² +c²
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Step-by-step explanation:
a+b+c=13
squaring on both sides
(a+b+c)²=13²
a²+b²+c²+ab+bc+ca=169
a²+b²+c²+(ab+bc+ca)=169
a²+b²+c²+6=169
a²+b²+c²=169-6
a²+b²+c²=163
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