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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 50

An illustration from Analytic geometry and calculus, 1917, leaf 50
xis of x.Geometrically, the line x = -\ intersects the curves (1) and (2)in a common point and alsointersects (2) in another point,Therefore the only real solutionsof these equations are the onesnoted above, and the correspond-ing curves intersect at the twopoints (0, 0) and (3, 3) (fig. 43). We… … 34 GRAPHS OF ALGEBRAIC FUNCTIONS Ex. 9. Find the points of intersection of 2 x2 + 3 y* = 35 (1) and xy = 6. (2) Since these equations are homogeneous quadratic equations, we place y = mx (3) and substitute for y in both (1) and (2). The results are 2 a;2 + 3 ra2x2 = 35 and mx2 = 6, whence x2- 35…

Geometry, Analytic · Calculus

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