Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 47
Fig. Ex. 2. Find the points ofintersection of 0 x - 4 y - 9 = 0 (1) and x2 - 4 y = 0. (2) Solving (1) for y and sub-stituting the result in (2), wehave x2 - G x + 9 = 0. Theroots of this ecpiation areequal, each being 3. Hencethe straight line is tangentto the curve. Substituting 3for x in (1), we… … Fig. 37 INTERSECTION 31 Ex. 3. Find the points ofintersection of 3x-2v/-5 = 0and x2 — 4 y = 0. (1)(2) Proceeding as in the twoprevious examples, we obtainx2 - 6 x +10 = 0, the roots ofwhich are 3 ±V— 1. Hencethe straight line does notintersect the curve (fig. 38).The corresponding values ofy are 2…
Geometry, Analytic · Calculus
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