Advanced MathHardSum of y-coordinates where a parabola meets a line
Advanced Math practice question
In the xy-plane, the parabola y = x² and the line x + y = 6 intersect at two points. What is the sum of the y-coordinates of those two points?
Answer: 13
x² + x − 6 = (x + 3)(x − 2) = 0 gives x = −3 or 2, with y = 9 and 4; the sum is 13.
Common wrong answers
- If you answered 5
- 5 is the difference of the y-coordinates.
- If you answered 36
- 36 is the product of the y-coordinates.
- If you answered -1
- −1 is the sum of the x-coordinates.
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