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Analytic geometry and calculus (1917)

Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 49

An illustration from Analytic geometry and calculus, 1917, leaf 49
own quantity eliminated. The equation resultingfrom the elimination is in general of degree 7nn, and thenumber of simultaneous solutions of the original equationsis mn. If all these solutions are real and distinct, the corre-sponding curves intersect at mn points. If, however, any ofthese solutions… … Tig. 41 and Ex. 7. Find the points of intersection of = 0= 0. y x2 + y _ o (1)(2) Subtracting (1) from (2), we eliminate y, thereby obtaining the equa-tion x2 + 2 x — 8 = 0, the roots of which are — 4 and 2. Substituting 2 INTERSECTION 33 anrl _ 4 in either (1) or (2), we find the corresponding…

Geometry, Analytic · Calculus

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