A Practical Treatise On Algebra Designed for the Use of Students in High School
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In our eReader you can find the full English version of the book. Read A Practical Treatise On Algebra Designed for the Use of Students in High School 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 A Practical Treatise On Algebra Designed for the Use of Students in High School
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To quickly assess the difficulty of the text, read a short excerpt:
Proceed in this manner for the next term of the root, and so proceed until the work is finished.
See page 255 of the Author's National Arithmetic.
EXAMPLES. .
1. Required the square root q^ a^—2c^x-\-^c^x^ — ^aj3C^-\-x^, a'—2a^x-{-Sa''x''—2ax^-\-x\a''—ax+x\ a' 2a'')—2a^x a'—2a'x+a''x'' 2a^)2a^xr a'—2a'x+Sa'x''—2ax'Jr^\ 2. Required the cube root of x^-\-Qx^ —4:0x^-^9Qx—Q4:.
x'-}-Qx'—4:0x'-{-^JQx—Q4:{x''-]-2x—4:. X' nx')Qx' x'-^Qx'+12x'-USx^ Sx')—12x' x'-{-Qx'—4:0x^-{-9Qx—Q4:.
3. Required the fou...rth root oflQx^—dQx^y-^21Qxy—21Qxf -\-Sly\ 138 ALGEBRA.
I6x' S2x')—mx^y lQx'-9Qx'y-lr21Qxy—21Qxf-]-Sh/.
4. Required the cube root ofm^ — Q?n^-{-4^0m^ — 96??z — 64.
Ans. 171^ — 2m — 4.
5. Required the fifth root of 32z^— 80:r^+80. R^— 402r^+10:c — 1. Ans. 2x — 1.
SECTION XV.
SURDS, OR RADICAL QUANTITIES.
Art. 180t Surds, or radical quantities, are roots whose values cannot be exactly obtained, being usually expressed by means of the radical sign, or fractional indices ; in which latter case the numerator shows the power to which the quantity is to be raised, and the denominator its root.
What to read after A Practical Treatise On Algebra Designed for the Use of Students in High School?
You can find similar books in the "Read Also" column, or choose other free books by Benjamin Greenleaf to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Proceed in this manner for the next term of the root, and so proceed until the work is finished.
See page 255 of the Author's National Arithmetic.
EXAMPLES. .
1. Required the square root q^ a^—2c^x-\-^c^x^ — ^aj3C^-\-x^, a'—2a^x-{-Sa''x''—2ax^-\-x\a''—ax+x\ a' 2a'')—2a^x a'—2a'x+a''x'' 2a^)2a^xr a'—2a'x+Sa'x''—2ax'Jr^\ 2. Required the cube root of x^-\-Qx^ —4:0x^-^9Qx—Q4:.
x'-}-Qx'—4:0x'-{-^JQx—Q4:{x''-]-2x—4:. X' nx')Qx' x'-^Qx'+12x'-USx^ Sx')—12x' x'-{-Qx'—4:0x^-{-9Qx—Q4:.
3. Required the fou...rth root oflQx^—dQx^y-^21Qxy—21Qxf -\-Sly\ 138 ALGEBRA.
I6x' S2x')—mx^y lQx'-9Qx'y-lr21Qxy—21Qxf-]-Sh/.
4. Required the cube root ofm^ — Q?n^-{-4^0m^ — 96??z — 64.
Ans. 171^ — 2m — 4.
5. Required the fifth root of 32z^— 80:r^+80. R^— 402r^+10:c — 1. Ans. 2x — 1.
SECTION XV.
SURDS, OR RADICAL QUANTITIES.
Art. 180t Surds, or radical quantities, are roots whose values cannot be exactly obtained, being usually expressed by means of the radical sign, or fractional indices ; in which latter case the numerator shows the power to which the quantity is to be raised, and the denominator its root.
What to read after A Practical Treatise On Algebra Designed for the Use of Students in High School?
You can find similar books in the "Read Also" column, or choose other free books by Benjamin Greenleaf to read onlineMoreLess
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