Advanced MathHardPositive x where two curves meet
Advanced Math practice question
In the xy-plane, the graphs of y = x² + 3 and y = 2x² − 1 intersect at two points. What is the x-coordinate of the intersection point with positive x?
Answer: 2
x² + 3 = 2x² − 1 gives x² = 4, so the positive x is 2.
Common wrong answers
- If you answered 4
- 4 is x².
- If you answered 7
- 7 is the y-coordinate.
- If you answered -2
- −2 is the other intersection.
More Advanced Math questions
- Hard
A population of bacteria doubles every 3 hours. If it starts at 500, which function models the population P af… - Hard
How many real solutions does x² + 4x + 5 = 0 have? - Hard
A car worth $20,000 loses 15% of its value each year. What is its value after 2 years? - Hard
An investment of $1,000 grows at 6% per year, compounded annually. Which expression gives its value after t ye… - Hard
If f(x) = x² − 1 and g(x) = x + 2, what is g(f(3))? - Hard
The parabola y = x² − 8x + 12 crosses the x-axis at two points. What is the x-coordinate of the vertex?
Not affiliated with the College Board. SAT is a trademark of the College Board.