if a + b + C is equal to 6 and ab+bc+ca=11 then find a square +b square+ c square
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Step-by-step explanation:
given,
a+b+c=6 and
ab+bc+ca=11
we know that,
(a+b+c) ^2=a^2+b^2+c^2+2(ab+bc+ca)
6^2=a^2+b^2+c^2+2×11
=36=a^2+b^2+c^2+22
=36-22=a^2+b^2+c^2
=14=a square+b square+c square
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