Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 51
36 PLANE ANALYTIC GEOMETRY. Eliminating y by substitution from (1) into (2), there results5x2-12x + 4 = 0,which gives x = 2 or |. The corresponding ys found from (1) are —1 or y-.Therefore the points of intersection are (2, — 1) and (|, -U-). (Fig. 21.)Ex. 2. To find the intersections of y + 2x = 5… … 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…
Geometry, Analytic
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
