Find, in terms of $a$, the roots of the equation $\frac{1}{(x - a)^2} = |x - a|$.[3] On the same

Question

Find, in terms of $a$, the roots of the equation $\frac{1}{(x - a)^2} = |x - a|$.[3] On the same axes, sketch the curves with equations $y = \frac{1}{(x - a)^2}$ and $y = |x - a|$, where $a > 1$. Hence solve the inequality $\frac{1}{(x - a)^2} > |x - a|$.[3]

Accepted Answer

(a) $x=a-1$ or $x=a+1$ (b) $a-1<x<a$ or $a<x<a+1$

2025 JPJC P1 Q2

2025 JPJC P1 Q2

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