16Hit1600
Advanced MathEasy–MediumIntersection of a parabola and a line

Advanced Math practice question

In the xy-plane, the graphs of y = x² and y = 2x + 3 intersect at two points. What is the x-coordinate of the point with the larger x-coordinate?

Answer: 3

x² = 2x + 3 gives x² − 2x − 3 = (x − 3)(x + 1) = 0, so x = 3 or x = −1.

Common wrong answers

If you answered 1
1 comes from a factoring slip, (x − 1)(x − 3).
If you answered 9
9 is the y-coordinate at x = 3.
If you answered -1
−1 is the smaller x-coordinate.

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