A Treatise On Elementary And Higher Algebra
A Treatise On Elementary And Higher Algebra
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In our eReader you can find the full English version of the book. Read A Treatise On Elementary And Higher Algebra 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 Treatise On Elementary And Higher Algebra
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To quickly assess the difficulty of the text, read a short excerpt:
" Given, 4aV + 4aVa? -f 4:abcPx — 9cd^a? + {(k?+ bcPf = 0, to find »." Because the equation is equivalent to {2ax -\-a(^ + icPf = dccPa^y we get (by extracting the square roots of the membeiB of this equation) 2ax + a(^ + i€P = ±SdVcxx.
Hence, we easily get a? = i and a = — 2a-t8dVo cu^ + hcP 2a — ZdVc 28. " Given, ma? — 2mx Vn = na? — mn, to find x.^ Since the equation is equivalent to (» Vmf — 2 V'm'n . 4- ?7m = (a? Vm — Vmn)* = na?^ we get (as in the last question), A/im/n X i^m — Vmn = ±xVn...: and thence x = —7^=: r= and a?
^17171 l/m— Vwp 29. « Given, «? ±12^'«^ - f^i^^+i + i^ + ^i^^)^ + ^ V{a + 5)c = 0, to find a?." Putting -^Lt — ?^ = A and dividing by Ax. the equa- 9J* — 3a'J* tion (by transposition) is easily put under the form x H- 4 ^^^±^ = '-^p + (1 + 2^)^4^. ,hieh (accord- aJA a: 3t^A (3 — a*)A ' ^ ing to what has heretofore been shown) is such that the values of » and -4ir — *re the roots of the proposed equation.
• aoA. -a?
To find these values, we square both members of the preceding 4:cd .
What to read after A Treatise On Elementary And Higher Algebra?
You can find similar books in the "Read Also" column, or choose other free books by Theodore Strong to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
" Given, 4aV + 4aVa? -f 4:abcPx — 9cd^a? + {(k?+ bcPf = 0, to find »." Because the equation is equivalent to {2ax -\-a(^ + icPf = dccPa^y we get (by extracting the square roots of the membeiB of this equation) 2ax + a(^ + i€P = ±SdVcxx.
Hence, we easily get a? = i and a = — 2a-t8dVo cu^ + hcP 2a — ZdVc 28. " Given, ma? — 2mx Vn = na? — mn, to find x.^ Since the equation is equivalent to (» Vmf — 2 V'm'n . 4- ?7m = (a? Vm — Vmn)* = na?^ we get (as in the last question), A/im/n X i^m — Vmn = ±xVn...: and thence x = —7^=: r= and a?
^17171 l/m— Vwp 29. « Given, «? ±12^'«^ - f^i^^+i + i^ + ^i^^)^ + ^ V{a + 5)c = 0, to find a?." Putting -^Lt — ?^ = A and dividing by Ax. the equa- 9J* — 3a'J* tion (by transposition) is easily put under the form x H- 4 ^^^±^ = '-^p + (1 + 2^)^4^. ,hieh (accord- aJA a: 3t^A (3 — a*)A ' ^ ing to what has heretofore been shown) is such that the values of » and -4ir — *re the roots of the proposed equation.
• aoA. -a?
To find these values, we square both members of the preceding 4:cd .
What to read after A Treatise On Elementary And Higher Algebra?
You can find similar books in the "Read Also" column, or choose other free books by Theodore Strong to read onlineMoreLess
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