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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 166
by Charles Hutton - 1811

## The Doctrine of Chances: Or, a Method of Calculating the Probabilities of ...

Abraham de Moivre - 1756 - 376 pages
...Unity ; 2°, the laft but one by the Sum of the Roots wanting the firft ; 3°, the laft but two, by the Sum of the Products of the Roots taken two and two, excluding that product wherein the firft Root is concerned ; 4°, the laft but three, by the Sum of...

## A Course of Mathematics: For the Use of Academies as Well as ..., Volume 2

Charles Hutton - 1812 - 624 pages
...its roots partly real, partly imaginary, will want the second term if b — a + 2c = 0, or a—b =. 2c. Cor. 3. An equation will want its third term,...and these mutually destroy each other. Remark. An incowfilefe equation may be thrown imo the form of com/ilete equations, by introducing, with the coefficient...

## A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volume 2

Charles Hutton - 1816 - 618 pages
...article, which has its roots partly real, partly imaginary, will want the second term if b — a -f. 2c = 0, or a — b = 2c. Cor. 3. An equation will want its third term, if the sum of the products ot the roots taken two and two, is partly positive, partly negative, and these mutually destroy each...

## A Course of Mathematics: For the Use of Academies, as Well as ..., Volume 2

Charles Hutton - 1818 - 686 pages
...second term if b — a -f- 2e = 0, or e — 6 = Se. Cor. 3. An equation will want its third term, if Ihe sum of the products of the roots taken two and two,...partly negative, and these mutually destroy each other. Rtmnrk. An incomplete equation may be thrown into the form of complete equations, by introducing, with...

## Elements of Geometry

Adrien Marie Legendre - 1819 - 574 pages
...taken with the contrary sign* will be the sum of the roots ; The coefficient of the third term will be the sum of the products of the roots, taken two and two ; The coefficient of the fourth term, ta],en with the contrary sign, will be the sum of the products...

## A Course of Mathematics for the Use of Academies, as Well as Private Tuition

Charles Hutton - 1822 - 680 pages
...roots partly real, partly imaginary, will want the second term if b — a -f 2c = 0, or arb ••= 2c. Cor. 3. An equation will want its third term,...negative * and these mutually destroy each other. Remark* --.Ant incomplete equation may be thrown into the form ;of complete equations, by introducing, with...

## A Course of Mathematics for the Use of Academies: As Well as ..., Volume 2

Charles Hutton - 1826 - 682 pages
...roots partly real, partly imaginary, will want the second term if 6 — a +£«=(), or a — 6=2c. Cor. 3. An equation will want its third term, if the...Remark An incomplete equation may be thrown into the form of complete equations, by introducing, with the co-efficient a cypher, the absent powers of the...

## Elements of Algebra

Silvestre François Lacroix - 1825 - 324 pages
...taken with the contrary sign, will be the sum of the roots ; The coefficient of the third term will be the sum of the products of the roots, taken two and two ; The coefficient of the fourth term, taken with the contrary sign, will be the sum of the products...