JAMB Mathematics 2025 Objective — Question 4
Question 4 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2025 Objective paper, with the correct answer and a full explanation.
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The roots of the quadratic equation 2x²-3x-5=0 are used to form a new quadratic equation. What is the equation whose roots are the squares of the roots of the original equation?
- A. 2x²-4x-6=0
- B. 4x²-25x+29=0
- C. 4x²-29x+25=0Correct
- D. 6x²-8x-12=0
Explanation
Roots of 2x²-3x-5=0 are 5/2 and -1. Their squares are 25/4 and 1. Sum=29/4, product=25/4. New equation: x²-(29/4)x+25/4=0 → 4x²-29x+25=0.
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