Advanced MathEasy–MediumSystem with a parabola and a horizontal line
Advanced Math practice question
How many solutions does the system y = x² − 3 and y = 1 have?
- A. TwoCorrect
- B. One
- C. Zero
- D. Infinitely many
Answer: A. Two
x² − 3 = 1 gives x² = 4, so x = 2 or x = −2: two solutions.
Why the other answers are wrong
- B. One
- Both square roots of 4 give solutions.
- C. Zero
- x² = 4 has real solutions.
- D. Infinitely many
- A parabola and a line share at most two points.
More Advanced Math questions
- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - Easy–Medium
Which expression is equivalent to (2x³)(3x⁴)? - Easy–Medium
What are the solutions to x² − 16 = 0? - Easy–Medium
Which expression is equivalent to (x + 5)²? - Easy–Medium
For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
Not affiliated with the College Board. SAT is a trademark of the College Board.