Elements of Algebra Embracing Also the Theory And Application of Logarithms
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In our eReader you can find the full English version of the book. Read Elements of Algebra Embracing Also the Theory And Application of Logarithms 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 Elements of Algebra Embracing Also the Theory And Application of Logarithms
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To quickly assess the difficulty of the text, read a short excerpt:
35 ^ 3. Find the values of x in the equations 4a: — =46.
X Ans. 37=12, or — f.
2a? X Find the values of x in the equation a?^+— - — -=8- 273 ^x", Ans. 07=4, or — 4-t» 12 6 " J 11 5. Find the values of x in the equation 2a7^+8a7+7= — 4 ^--\-\m. Ans. A:=8, or —11/, .
8 6. Find the values of a: in the equation - — _+7|-=8.
Ans. A?=:l|, or — |.
7. Find the values of x in the equation 8— a: 2a?— 11 2 a?— 3 ^H?. Ans. X=^, ox\, 6 8. Find the values of a? in the equation 5a?- + 4a? =273.
Ans. A? =7, or... — 7|.
PARTICULAR CASES OF AFFECTED aUADRATICS. 331. It is evident that every equation of the form a?'"+2pa?"=^ r SECT. VII. ] AFFECTED EQUATIONS. 215 may be solved by the preceding rules ; for, let y=x^, and 3^=0^*", and the above equation will become f^2py=q; Completing the square, y^+2py-^p^=q-{-p^ ', Evolving and transposing - y= — p±: Vg^p'i Substituting the value of y - x'*= — p±>/q-\-p*i Evolving - - - - x=\/ — p±Vq-\-p*' 332. Equations also occur in the form > I 1 t Let y=x", then y*=a?" ; and substituting these values, f-^2py=q; ^ Reducing - - - - y=—p±Vq+p% Or ar=-p±^g^p*'^ Involving to the nth power - x=(—p±y/q-\-p^)\ These equations may be readily solved without the for- mality of substitution.
What to read after Elements of Algebra Embracing Also the Theory And Application of Logarithms?
You can find similar books in the "Read Also" column, or choose other free books by Davis W Clark to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
35 ^ 3. Find the values of x in the equations 4a: — =46.
X Ans. 37=12, or — f.
2a? X Find the values of x in the equation a?^+— - — -=8- 273 ^x", Ans. 07=4, or — 4-t» 12 6 " J 11 5. Find the values of x in the equation 2a7^+8a7+7= — 4 ^--\-\m. Ans. A:=8, or —11/, .
8 6. Find the values of a: in the equation - — _+7|-=8.
Ans. A?=:l|, or — |.
7. Find the values of x in the equation 8— a: 2a?— 11 2 a?— 3 ^H?. Ans. X=^, ox\, 6 8. Find the values of a? in the equation 5a?- + 4a? =273.
Ans. A? =7, or... — 7|.
PARTICULAR CASES OF AFFECTED aUADRATICS. 331. It is evident that every equation of the form a?'"+2pa?"=^ r SECT. VII. ] AFFECTED EQUATIONS. 215 may be solved by the preceding rules ; for, let y=x^, and 3^=0^*", and the above equation will become f^2py=q; Completing the square, y^+2py-^p^=q-{-p^ ', Evolving and transposing - y= — p±: Vg^p'i Substituting the value of y - x'*= — p±>/q-\-p*i Evolving - - - - x=\/ — p±Vq-\-p*' 332. Equations also occur in the form > I 1 t Let y=x", then y*=a?" ; and substituting these values, f-^2py=q; ^ Reducing - - - - y=—p±Vq+p% Or ar=-p±^g^p*'^ Involving to the nth power - x=(—p±y/q-\-p^)\ These equations may be readily solved without the for- mality of substitution.
What to read after Elements of Algebra Embracing Also the Theory And Application of Logarithms?
You can find similar books in the "Read Also" column, or choose other free books by Davis W Clark to read onlineMoreLess
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