It is given that $a$ is a constant and $0 Solve algebraically the equation $\left| x\left( x-1 \righ

Question

It is given that $a$ is a constant and $0 Solve algebraically the equation $\left| x\left( x-1 \right) \right|=ax$. [3] On the same axes, sketch the curves with equations $y=\left| x\left( x-1 \right) \right|$ and $y=ax$. Hence solve the inequality $\left| x\left( x-1 \right) \right|\le ax$. [4]

Accepted Answer

(i) x = 0, 1-a, 1+a; (ii) x = 0 or 1-a ≤ x ≤ 1+a

2022 VJC J1 MYE Q4

2022 VJC J1 MYE Q4

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