NABTEB Mathematics 2024 Objective — Question 19

Question 19 of 50 from the National Business and Technical Examinations Board (NABTEB) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

Find the quadratic equation whose roots are 2/3 and −1.

A. A. 3x²+x−2=0Correct
B. B. 3x²−x−2=0
C. C. 3x²+x+2=0
D. D. 3x²+x−1=0

Explanation

Sum of roots=2/3+(−1)=−1/3. Product of roots=2/3×(−1)=−2/3. multiplying through by −1: −x²+2x+... using x²−(sum)x+(product)=0: x²−(−1/3)x+(−2/3)=0 → x²+x/3−2/3=0, multiply by 3: 3x²+x−2=0.

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