Question

factorise:x²+x-6 do as directed
​

Answer 1

• $\bf{x}^{2}\:{+\:x\:-\:6}$

${ }$

$\:\:\:\:\:\:\:\::\:\Longrightarrow\sf{x}^{2}\:{+\:x\:-\:6}$

$\:\:\:\:\:\:\:\::\:\Longrightarrow\sf{x}^{2}\:{+\:(3\:-\:2)\:x\:-\:6\:=\:0}$

$\:\:\:\:\:\:\:\::\:\Longrightarrow\sf{x}^{2}\:{+\:3x\:-\:2x\:-\:6\:=\:0}$

$\:\:\:\:\:\:\:\::\:\Longrightarrow\sf{x\:(x\:+\:3)\:-\:2\:(x\:+\:3)\:=\:0}$

$\:\:\:\:\:\:\:\::\:\Longrightarrow\sf{(x\:-\:2)\:;\:(x\:+\:3)}$

${ }$

• $\purple{\bold{†}}\:{\underline{\sf{Hence,\:the\:answer\:is}\:{\bold{\:2\:,\:-3}}}}$

Answer 2

Answer:

2(3x - y) = 5xy .(i) 2(x + 3y) = 5xy ..(ii) Divide eqns. (i) and (ii) by xy, {tex}\frac { 6 } { y } - \frac { 2 } { x } = 5{/tex} ....(iii) and {tex}\frac { 2 } {