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WAEC Mathematics 2014 Objective — Question 12

Question 12 of 50 from the West African Examinations Council (WAEC) Mathematics 2014 Objective paper, with the correct answer and a full explanation.

Find the truth set of the equation x² = 3(2x+9).

A. {x:x=3,x=−9}
B. {x:x=−3,x=−9}
C. {x:x=3,x=9}
D. {x:x=−3,x=9}Correct

Explanation

x²=6x+27 → x²−6x−27=0 → (x−9)(x+3)=0 → x=9 or x=−3.

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