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" In a quadratic equation wJiere the coefficient of the first term is unity, (i) the sum of the roots is equal to the coefficient of x with its sign changed ; (ii) the product of the roots is equal to the third term. "
Elementary Algebra - Side 256
av Henry Sinclair Hall, Samuel Ratcliffe Knight - 1895 - 478 sider
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - 1839 - 272 sider
...fourth form both 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 term, taken with a contrary sign. 4th. That the product of the roots is equal to the...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1842 - 284 sider
...the other negative. 2nd. That the positive root is numerically greater than the negative. 3rd. That the sum of the 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...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1848 - 302 sider
...fourth form both the roots are positive. 2nd. That the first root is greater than, the second. 3rd. 77m/ the sum of the 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...
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The Scholar's Algebra: An Introductory Work on Algebra

Lewis Hensley - 1875 - 274 sider
...2<Z v I za l> a' by addition, and whence we learn that, if the expression be written in form (ii), I. The sum of the roots is equal to the coefficient...changed ; II. The product of the roots is equal to the last term. This term, which is independent of x, is often called the absolute term. Again, (xd)(xp)...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 sider
...this equation are — ~ and — Adding these values we have — Sum of the Boots = — p. That is, the sum of the roots is equal to the coefficient of x tn the general equation, with its sign changed. Again, multiplying the two values of x, we have —...
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - 1885 - 370 sider
...95) = ^q = _ 4 4 That is, ?/ a quadratic equation be reduced to the form я?+px = q, the algebraic sum of the roots is equal to the coefficient of x with its sign changed, and the product of the roots is equal to the second member, with its sign changed. Example. Required...
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - 1885 - 324 sider
...(Art.9ô) =^ = -ç. That is, if a quadratic equation be reduced to the form я?+px = q, the algebraic sum of the roots is equal to the coefficient of x with its sign changed, and the product of the roots is equal to the second member, with its sign changed. Example. Required...
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A Complete Course in Algebra

Webster Wells - 1885 - 368 sider
...(Art. 95) =:z . 4 4 That is, if a quadratic equation be reduced to the form x?+px = q, the algebraic sum of the roots is equal to the coefficient of x with its sign changed, and the product of the roots is equal to the second member, with its sign changed. Example. Required...
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - 1885 - 372 sider
...together, That is, г/ a quadratic equation be reduced to the form a? -\-px = q, the algebraic »urn of the roots is equal to the coefficient of x with its sign changed, and the product of the roots is equal to the second member, with its sign changed. Example. Required...
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College Algebra: For the Use of Academies, Colleges, and Scientific Schools ...

Edward Albert Bowser - 1888 - 868 sider
...quadratic equation where the coefficient of a? is unity and all the terms are in the first member, the sum of the roots is equal to the coefficient of x with its sign changed, and the product of the roots is equal to the third term. Thus, dividing the general equation by a,...
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