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" Cor. 3. An equation will want its third term, if the sum of the products of the roots taken two and two, is partly positive, partly negative, and these mutually destroy each other. Remark. "
A Course of Mathematics: In Three Volumes : Composed for the Use of the ... - Page 164
by Charles Hutton - 1811
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A Treatise on Gyrostatics and Rotational Motion

Andrew Gray - 1918 - 562 pages
...to (1), 9, we see that the coefficient of z, when that of z3 is a, is 262Ji3 — a. Now, since z2=l, the sum of the products of the roots taken two and two is Thus we obtain Now j, = 1 - 2ii', and so we have bV-a(lu') , '"'~ «0-0 ' ...................... (3>...
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