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If a,b and c are real numbers, and De...

If a,b and c are real numbers, and
`Delta ={:[( b+c,C+a,a+b),( c+a,a+b,b+c),( a+b,b+c,c+a) ]:}=0`
Show that either `a+b+c=0 "or" a= b= c . `

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