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JAMB Mathematics 2019 Objective — Question 4

Question 4 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

A binary operation * is defined by x*y=x^y. If x*2=12−x, find the possible values of x

A. 3,4
B. 3, -4Correct
C. -3, 4
D. -3, -4

Explanation

x*2=x². Since x*2=12−x: x²=12−x ⇒ x²+x−12=0 ⇒ (x+4)(x−3)=0 ⇒ x=−4 or x=3.

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