Question 2.2: Points of Intersection Find the points of intersection of t......
Points of Intersection
Find the points of intersection of the graphs of the equations x² – y = 3 and x – y = 1.
Solve for y in each equation and then set them equal to each other:
y=x^{2}-3,y=x-1{ \ \mathrm{~implies~}} \ x^{2}-3=x-1\,.
Solving this equation, you obtain x² – x – 2 = (x – 2)(x + 1) = O. Hence x = 2 and x = -1, so the points of intersection are (2,1) and (-1,-2).
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