JAMB Mathematics 2009 Objective — Question 23

Question 23 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2009 Objective paper, with the correct answer and a full explanation.

If P = (x+3 x+2; x+1 x-1), evaluate x if |P| = -10

A. -5
B. -2
C. 2
D. 5Correct

Explanation

Determinant |P| = (x+3)(x-1) - (x+2)(x+1) = -10. Expanding: x^2+2x-3 - (x^2+3x+2) = -10. -x-5=-10. -x=-5. x=5.

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