Question

Find the value of x:



x^2-x-6=0

Solve by factoring

Answer 1

Answer:

$x^2-x-6=0\quad :\quad x=-2,\:x=3$

Step-by-step explanation:

$x^2-x-6=0$

$\mathrm{Solve\:by\:factoring}$

$\mathrm{Factor\:}x^2-x-6$

$\mathrm{Break\:the\:expression\:into\:groups}$

$=\left(x^2+2x\right)+\left(-3x-6\right)$

$\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+2x\mathrm{:\quad }x\left(x+2\right)$

$\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-3x-6\mathrm{:\quad }-3\left(x+2\right)$

$=x\left(x+2\right)-3\left(x+2\right)$

$\mathrm{Factor\:out\:common\:term\:}x+2$

$=\left(x+2\right)\left(x-3\right)$

$\left(x+2\right)\left(x-3\right)=0$

$\mathrm{Using\:the\:Zero\:Factor\:Principle:}$

$\mathrm{Solve\:}\:x+2=0:\quad x=-2$

$\mathrm{Solve\:}\:x-3=0:\quad x=3$

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=-2,\:x=3$

Answer 2

Answer:-

Refer the attachment