Advanced MathMediumSolving a line-parabola system
Advanced Math practice question
If (x, y) is a solution to the system y = x² and y = 4x − 3, and x > 2, what is the value of y?
Answer: 9
x² = 4x − 3 gives x² − 4x + 3 = 0, so x = 1 or x = 3. Since x > 2, x = 3 and y = 9.
Common wrong answers
- If you answered 1
- 1 is the rejected value of x, and its y-value.
- If you answered 3
- 3 is x, not y.
- If you answered 4
- 4 is the sum of the two x-values.
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