Graphic Algebra Or Geometrical Interpretation of the Theory of Equations of On
Graphic Algebra Or Geometrical Interpretation of the Theory of Equations of On
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In our eReader you can find the full English version of the book. Read Graphic Algebra Or Geometrical Interpretation of the Theory of Equations of On Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Graphic Algebra Or Geometrical Interpretation of the Theory of Equations of On
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One root of the equation x* — 4X 2 -f- x = o is 2 -f- V$. What are the two remaining roots ? 26. Since the coefficient of the second term is the sum of all the roots with their signs changed, it follows that when all the roots of an equation but one are known, this one may be found from the coefficient of the second term. Example 1. If 10 and 8 are roots of the equation x* — iyx 2 + 62x -f- 80 = o, show, from the second term, what the third root is. Ex. 2. The equation x K — $x 3 — 54*r s -f- I... \2X — O has four roots, two of which are 2 and — 7. What are the others ? 27. If the second term of an equation is wanting, the sum of the positive roots must be equal to the sum of the nega- tive roots. Example 1. The equation x K — 6ix* + i8ar = o has four roots, two of which are 4 and 5. What are the others ? ROOTS OF EQUATIONS. 29 Ex. 2. The equation x K — 2>x* -[- 24r = o has four roots, one of which is — 2. What are the other three ? Verify the result. 28. In forming an equation when the roots are given, it is usually best to employ the first method when some of the roots are surds, and the second method may be employed when all of the roots are rational.
What to read after Graphic Algebra Or Geometrical Interpretation of the Theory of Equations of On?
You can find similar books in the "Read Also" column, or choose other free books by Andrew W Andrew Wheeler Phillips to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
One root of the equation x* — 4X 2 -f- x = o is 2 -f- V$. What are the two remaining roots ? 26. Since the coefficient of the second term is the sum of all the roots with their signs changed, it follows that when all the roots of an equation but one are known, this one may be found from the coefficient of the second term. Example 1. If 10 and 8 are roots of the equation x* — iyx 2 + 62x -f- 80 = o, show, from the second term, what the third root is. Ex. 2. The equation x K — $x 3 — 54*r s -f- I... \2X — O has four roots, two of which are 2 and — 7. What are the others ? 27. If the second term of an equation is wanting, the sum of the positive roots must be equal to the sum of the nega- tive roots. Example 1. The equation x K — 6ix* + i8ar = o has four roots, two of which are 4 and 5. What are the others ? ROOTS OF EQUATIONS. 29 Ex. 2. The equation x K — 2>x* -[- 24r = o has four roots, one of which is — 2. What are the other three ? Verify the result. 28. In forming an equation when the roots are given, it is usually best to employ the first method when some of the roots are surds, and the second method may be employed when all of the roots are rational.
What to read after Graphic Algebra Or Geometrical Interpretation of the Theory of Equations of On?
You can find similar books in the "Read Also" column, or choose other free books by Andrew W Andrew Wheeler Phillips to read onlineMoreLess
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