waec model questions vol1 2023 mathematics

Objective • Question 18

Question 18 WAEC_MODEL_QUESTIONS_VOL1 • 2023
The quadratic equation 2x^2 - (k+3)x + (k-2) = 0 has real roots \alpha and \beta that satisfy \alpha + 2\beta = 5. Find all possible values of k.
Answer Options
A. k = 0 \text{ or } k = 4
B. k = -2 \text{ or } k = 8
C. k = 1 \text{ or } k = 5
Correct Answer D. k = 2 \text{ or } k = 6
Correct Answer
D
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