The sum of the squares of three numbers is 138, while the sum of their productstaken two at a time is 131. their sum is:
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Let the three numbers are a,b,c
a²+b²+c²=138
ab+bc+ca=131
so now
we know that
(a+b+c)²= a²+b²+c²+2( ab+bc+ca )
=138+2(131)
=138+262
=400
(a+b+c)=√(400)
(a+b+c)=20
Therefore,The sum of three numbers is 20
a²+b²+c²=138
ab+bc+ca=131
so now
we know that
(a+b+c)²= a²+b²+c²+2( ab+bc+ca )
=138+2(131)
=138+262
=400
(a+b+c)=√(400)
(a+b+c)=20
Therefore,The sum of three numbers is 20
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0
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Hope it helped
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