Domain of the function \( \Large y = \sqrt{x \left(x-3\right) } \) is \( \Large x \left(x-3\right)\ge 0 \) => \( \Large x < 0 \ or\ x > 3 \) ...(i) Given equation can be rewritten as. \( \Large 9|x|^{2} - 19|x|+2=0 \) => \( \Large \left(9|x|-1\right) \left(|x|-2\right)=0 \) => \( \Large |x|=2 \ or\ |x| = \frac{1}{9} \) Therefore, Solution of given equation are \( \Large \pm 2, \pm \frac{1}{9} \) in the domain (i) the required solutions are \( \Large -2, - \frac{1}{9} \)
