Theory And Solution of Algebraical Equations of the Higher Orders
Theory And Solution of Algebraical Equations of the Higher Orders
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In the following example the last step of the work is cur- tailed in this way : Xj = 6a^ 4- 5a^ — 4a^ - 3x^ ■\-2x-\ K = b"- B„ = a" c„ = a'" 234 THE METHOD OF STURM COMPARED + 5 — 4 _3 +2 + 2 +3 -4 +5 — 6 5 -4 12+18- -3 +2 - 24 + 30 - — 1 -36 17 + 14- - 27 + 32 - -37 17_14 +27 —32+37 X 6+5 — 4 —3 + 2 1 102 172 — 14 +27 -32+37 2754 -3264 + 3774 -1156 -867 +578^289 — 1584 +4104 — 4320 + 252 or, -f-4 X 9 _44 +114 -120 +7 _44 -114 +120 -7 X 17 + 14 —27 +32-37 -1277 22 X 17 44 X 22 145578 - 153240 +... 8939 -44880 + 2618 -26136 + 30976-35816 -74562 + 119646 + 26877 -74562-119646 —26877 X — 44+114 -120 + 7 - 21-69 2595 + 583 22 -591 37281 — 4474 + 261 2470 -844 or, -r-2 1235 -422 WITH THAT OF FOURIER AND BUDAN. 235 Consequently, the functions are as follow : X = x^ -\- x^ — x"^ — x^ -\- x^ — a? + l Xi= 6x^ -j- 5^4 _ 4^ _ 3a;2 + 2. R — 1 X2 = 17a?4 + [4x^ - 27a?2 + 32a; - 37 X3 = — 44^ + 114a?2 — 120a? + 7 X4= — 74562a?2 + 119646a? + 26877 X^= 1235a?
What to read after Theory And Solution of Algebraical Equations of the Higher Orders?
You can find similar books in the "Read Also" column, or choose other free books by J R John Radford Young to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
In the following example the last step of the work is cur- tailed in this way : Xj = 6a^ 4- 5a^ — 4a^ - 3x^ ■\-2x-\ K = b"- B„ = a" c„ = a'" 234 THE METHOD OF STURM COMPARED + 5 — 4 _3 +2 + 2 +3 -4 +5 — 6 5 -4 12+18- -3 +2 - 24 + 30 - — 1 -36 17 + 14- - 27 + 32 - -37 17_14 +27 —32+37 X 6+5 — 4 —3 + 2 1 102 172 — 14 +27 -32+37 2754 -3264 + 3774 -1156 -867 +578^289 — 1584 +4104 — 4320 + 252 or, -f-4 X 9 _44 +114 -120 +7 _44 -114 +120 -7 X 17 + 14 —27 +32-37 -1277 22 X 17 44 X 22 145578 - 153240 +... 8939 -44880 + 2618 -26136 + 30976-35816 -74562 + 119646 + 26877 -74562-119646 —26877 X — 44+114 -120 + 7 - 21-69 2595 + 583 22 -591 37281 — 4474 + 261 2470 -844 or, -r-2 1235 -422 WITH THAT OF FOURIER AND BUDAN. 235 Consequently, the functions are as follow : X = x^ -\- x^ — x"^ — x^ -\- x^ — a? + l Xi= 6x^ -j- 5^4 _ 4^ _ 3a;2 + 2. R — 1 X2 = 17a?4 + [4x^ - 27a?2 + 32a; - 37 X3 = — 44^ + 114a?2 — 120a? + 7 X4= — 74562a?2 + 119646a? + 26877 X^= 1235a?
What to read after Theory And Solution of Algebraical Equations of the Higher Orders?
You can find similar books in the "Read Also" column, or choose other free books by J R John Radford Young to read onlineMoreLess
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