Question 21

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Jambmaths question: 

A binary operation * is defined by $x*y={{x}^{y}}$ . If $x*2=12-x$ find the possible value of x

Option A: 

–3, 4

Option B: 

–3, –4

Option C: 

3, 4

Option D: 

3, –4

Jamb Maths Solution: 

$\begin{align}  & x*2=12-x \\ & {{x}^{2}}=12-x \\ & {{x}^{2}}+x-12=0 \\ & (x+4)(x-3)=0 \\ & x=-4\text{ or }x=3 \\\end{align}$

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