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  • If a+b+c=9 and ab+bc+ca=26 , find a^{2}+b^{2}+c^{2} .

If a+b+c=9  and ab+bc+ca=26 , find a^{2}+b^{2}+c^{2} .

Answers (1)

29

Solution

Given ab+bc+ac=26, a+b+c=9

As we know that

(a+b+c)^{2}=a^{2}+b^{2}+c^{2}+2(ab+bc+ca)    …..(1)

Put a+b+c=9 , ab+bc+ac=26  in (1)       

\\(9)^{2}=a^{2}+b^{2}+c^{2}+2 \times 26 \\ a^{2}+b^{2}+c^{2}=81-52\\ a^{2}+b^{2}+c^{2}=29

Hence the answer is 29.

Posted by

infoexpert24

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