NABTEB Mathematics 2022 Objective — Question 50

Question 50 of 50 from the National Business and Technical Examinations Board (NABTEB) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

Solve: 6x^2 = 5x-1.

A. x = 0, -10
B. x = 0, -5
C. x = 1/2, 1/3Correct
D. x = 1/2, -1/3

Explanation

6x^2-5x+1=0. Factorizing: 6x^2-3x-2x+1=0, 3x(2x-1)-1(2x-1)=0, (3x-1)(2x-1)=0. So x=1/3 or x=1/2.

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