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Note on a Set of Simultaneous Equations
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1. Consider the equations:
x1+x2+x3.....+xn=a1,
x1y1+x2y2+x3y3+.......+xnyn=a2,
x1y12+x2y22+x3y32.......+xnyn2=a3,
x1y13+x2y23+x3y33+.........+xnyn3=a4
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