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" That the sum of the two roots is equal to the coefficient of x in the second term, taken with a contrary sign. 4th. That the product of the roots is equal to the known term in the second member, taken with a contrary sign. EXAMPLES. 1. "
First Lessons in Algebra: Embracing the Elements of the Science - Page 197
by Charles Davies - 1841 - 252 pages
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 pages
...positive, and the other negative. 2nd. That the positive root is numerically less than the negative. 3rd. That the sum of the two roots is equal to the...with a contrary sign. 4th. That the product of the two roots is equal to the known term in the second member, taken with a contrary sign. EXAMPLES. 1....
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1848 - 302 pages
...2nd. That the positive root is numerically greater than the negative. 3rd. That the sum of the rants is equal to the coefficient of X in the second term,...taken with a contrary sign. 4th. That the product nf the roots is equal to the known term in the second member, taken with a contrary sign. QUEST. —...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1848 - 300 pages
...numerically the least. If we multiply the roots together, we have (—p+V—q+p') x(—p—-\/—q+p'2) = +q. Hence we conclude, 1st. That in the third form both the roots are negative. 2nd. That the Jlrst root is numerically less than the second. 3rd. That the sum of the two roots is equal to the...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1850 - 292 pages
...the roots are positive. 2nd. That the first root is greater than the second. 3rd. That the sum of the roots is equal to the coefficient of x in the second...4th. That the product of the roots is equal to the ktwu-n term in the second member, taken with a contrary sign. EXAMPLES. 1. The roots of the equation...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1851 - 300 pages
...the least. If we multiply the roots together, we have (-;'+•/-?+/'*) x(-j'— •-»+/'°)=+»• Hence we conclude, 1st. That in the third form both...sum of the two roots is equal to the coefficient of z in the second term, taken tpith a contrary sign. 4th. That the product of the roots is equal to the...
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Elementary Algebra: For the Use of Schools

William Smyth - Algebra - 1851 - 272 pages
...an equation of the second degree will have, therefore, the following properties : 1° The algebraic sum of the two roots is equal to the coefficient of...x in the second term, taken with a contrary sign. 2°. The product of the roots is equal to the known term in the second member, taken with a contrary...
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1859 - 324 pages
...the two roots to be + 6 and — 2 ; therefore, the factors are, x — 6, and x + 2 (Art. 162). Since the sum of the two roots is equal to the coefficient of the second term, taken with a contrary sign (Art. 163) ; and the product of the two roots is equal...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1860 - 328 pages
...numerically the leas*. If we multiply the roots together, we have (-P+ V -v+p2)x (-p- V-g+p2)-.ti ilence, we conclude, 1st. That in the third form both the roots are negative. 2d. That the first root is numerically less than the second. 3d. That the sum of the two roots is equal...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1861 - 322 pages
...atul the other negativ«. 2d. That the positive root is numerically less than the negative root. 3d. That the sum of the two roots is equal to the coefficient...with a contrary sign. 4th. That the product of the two roots is equal to Out second member, taken with a contrary sign. EXAMPLES. 1. In the equation z2...
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New Elementary Algebra: Containing the Rudiments of Science for Schools and ...

Horatio Nelson Robinson - Algebra - 1866 - 328 pages
...and product now obtained, we conclude that in every equation in the form of x! + Чax — b = 0, I. The sum of the two roots is equal to the coefficient of the unknown quantity in the second term, taken with the contrary sign. II. The product of the two roots...
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