Advanced MathEasy–MediumMeeting point of two curves
Advanced Math practice question
In the xy-plane, the graphs of y = x² and y = x³ intersect at (0, 0) and at one other point. What is the x-coordinate of the other point?
Answer: 1
x² = x³ gives x²(1 − x) = 0, so x = 0 or x = 1.
Common wrong answers
- If you answered 0
- 0 is the point already given.
- If you answered 2
- 2 gives 4 and 8.
- If you answered -1
- −1 gives 1 and −1, which are not equal.
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