Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 52
Eliminate y, and there results 5x2 _ 20x + 20 = 0.This equation has the equal roots 2 and 2, to which correspond theequal ys, 1 and 1. The loci are tangent at the point (2, 1). (Fig. 22.) Ex. 3. Find the intersections of y + 2x = 7 and x^ + y2 = 5. Eliminating y, we have 5x2 _ 28x + 44-0, 14±2V-6… … We may now state the three cases which may occur in thesolution of the general equation (1) on p. 35, as follows: (1) If b^ — 4ac > 0, the two roots are real and uneqnal.The two loci intersect in tivo distinct points. (2) If b^ — 4ac:=0, the ttvo roots ore real and equal. Thetivo points of…
Geometry, Analytic
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