Mathematics, 05.12.2020 18:50 joserms729
Determine the value of a^2 +b^2+c^2, if a+b+c=7 and ab+bc+ca=15
Answers: 2
![\sf (a+b+c)^2 = a^2+b^2+c^2 +2(ab+bc+ca)\\\\Put \ a+b+c = 7 \ and \ ab+bc+ca = 15\\\\7^2 = a^2+b^2+c^2 + 2(15)\\\\ 49 = a^2+b^2+c^2 + 30\\\\49 - 30 = a^2+b^2 +c^2\\\\a^2+b^2+c^2 = 19\\\\\rule[225]{225}{2}](/tpl/images/0953/6670/44289.png)
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Determine the value of a^2 +b^2+c^2, if a+b+c=7 and ab+bc+ca=15...
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