Real or no real roots: discriminant sign gives the range of the parameter
This type of question, asked 4 times: CDS 2 2020, CDS 2 2021, CDS 2 2022, CDS 1 2024. All 5 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 2 2020
3If the roots of the quadratic equation are real, then what is the minimum value of ?Tap an option to check your answer.
Question 2
CDS 2 2021
19If the roots of the equation are real, then what is the minimum value of ?Tap an option to check your answer.
Question 3
CDS 2 2021
11For which values of , does the equation have real and distinct solutions ?Tap an option to check your answer.
Question 4
CDS 2 2022
32What are the values of k for which the polynomial has no real linear factors ?Tap an option to check your answer.
Question 5
CDS 1 2024
14What is the greatest value of k for which has real roots ?Tap an option to check your answer.