A Course in Algebra Being Course One in Mathematics in the University of Wiscon

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A Course in Algebra Being Course One in Mathematics in the University of Wiscon
C a Charles Ambrose Van Velzer
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Suppose the two roots of . R^ + '-r+/=o to h^ y and z. Then we know by Art. Lo, y^z=^—e (l) and J'-^=f, (^) squaring (i) we obtain y''-]r2yz-\-z^—e\ (2^) Subtracting four times (2) from this y^2yz^z^=e^-jj, or, extracting the root, r— 2'=±\/^''— 4/, • and since y-\-z=—e, —e^sje—dj 2 Solve in this manner the equation 3:1-- — 5-r+2=o.
Theory of Quadratics. 71 13. Discrimination of the Roots of the Quadratic Equa- tion. The roots of the equation are a=— |

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