Graphically Obtaining Roots
Source:
February 1, 2009
analytic geometrygraphing linesslope
Problem Statement
The roots of the equation x^2 \minus{} 2x \equal{} 0 can be obtained graphically by finding the abscissas of the points of intersection of each of the following pairs of equations except the pair:
(A)\ y \equal{} x^2, y \equal{} 2x \qquad(B)\ y \equal{} x^2 \minus{} 2x, y \equal{} 0 \qquad(C)\ y \equal{} x, y \equal{} x \minus{} 2
(D)\ y \equal{} x^2 \minus{} 2x \plus{} 1, y \equal{} 1 \qquad(E)\ y \equal{} x^2 \minus{} 1, y \equal{} 2x \minus{} 1
[Note: Abscissas means x-coordinate.]