2020 Nov P1 Q1

Question 1

$1.1$ Solve for $x$ :
$\quad 1.1.1$	$x^2-6x=0$	$(2)$
$\quad 1.1.2$	$x^2+10x+8=0\quad$ (correct to TWO decimal places)	$(3)$
$\quad 1.1.3$	$(1-x)(x+2)<0$	$(3)$
$\quad 1.1.4$	$\sqrt{x+18}=x-2$	$(5)$
$1.2$	Solve simultaneously for $x$ and $y$ : $x+y=3\;$ and $\;2x^2+4xy-y=15$	$(6)$

$1.3$	If $n$ is the largest integer for which $n^{200}<5^{300}$ , determine the value of $n$ .	$(3)$
		$\textbf{[22]}$