Find the exact roots of the equation $2\left| {{x}^{2}}-12x \right|=x+3$.[4] On the same axes, ske

Question

Find the exact roots of the equation $2\left| {{x}^{2}}-12x \right|=x+3$.[4] On the same axes, sketch the curves with equations $y=2\left| {{x}^{2}}-12x \right|$ and $y=x+3$. Hence solve exactly the inequality $2\left| {{x}^{2}}-12x \right|\le x+3$.[4]

Accepted Answer

(i) $\frac{25\pm \sqrt{649}}{4}$and $\frac{23\pm \sqrt{505}}{4}$ (ii) $\frac{25-\sqrt{649}}{4}\le x\le \frac{23-\sqrt{505}}{4}$ or $\frac{23+\sqrt{505}}{4}\le x\le \frac{25+\sqrt{649}}{4}$

2020 VJC J1 MYE Q8

2020 VJC J1 MYE Q8

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