Advanced MathEasy–MediumSystem with no real solution
Advanced Math practice question
Which of the following systems of equations has no real solution?
- A. y = x² + 1 and y = 0Correct
- B. y = x² and y = 4
- C. y = x² − 1 and y = 0
- D. y = x² and y = x
Answer: A. y = x² + 1 and y = 0
x² + 1 is always at least 1, so it can never equal 0.
Why the other answers are wrong
- B. y = x² and y = 4
- x = 2 and x = −2 are solutions.
- C. y = x² − 1 and y = 0
- x = 1 and x = −1 are solutions.
- D. y = x² and y = x
- x = 0 and x = 1 are solutions.
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 ?
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