interest sum of three number is 10 and the sum of their square is 38 find the sum of the product of the three numbers taking two at a time
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Answer:
Step-by-step explanation:
given
a+b+c=10
a^2+b^2+c^2=38
ab+bc+ac=?
consider (a+b+c)^2=a^2+b^2+c^2+2(ab+bc+ac)
100=38+2(ab+bc+ac)
100-38=2(ab+bc+ac)
62/2=ab+bc+ac
31=ab+bc+ac
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