1. ## equations meet?

Can anyone help me with this?

Where do the following equations meet. (solve graphically and mathematically)

Y=2x²-6
Y=x-3

2. $\displaystyle y=2x^2-6$
$\displaystyle y=x-3$

$\displaystyle 2x^2-6=x-3$

$\displaystyle 2x^2-x-3=0$

$\displaystyle (2x-3)(x+1)=0$

$\displaystyle x=-1 or x=1.5$

so they meet at -1 and 1.5. you can see this on a graph when the two graphs cross each other