#1**+1 **

Set the two equation equal to each other: -3x^{2} + 12x - 6 = 2x^{2} - 4x + 3

Get all the terms to one side: -5x^{2} + 16x - 9 = 0

Multiply by -1: 5x^{2} - 16x + 9 = 0

Now, use the quadratic formula to get the two values for x.

Then, for each x-value, find the corresponding y-value by substituting each value

back into either of the original equations.

You will now have the two points of intersection.

geno3141 Jun 16, 2020

#3**+1 **

You will get two answers when you apply the quadratic formula; these will be two x-values.

Take the first x-value and place it into either of the two original equations to get a y-value;

this x-value and y-value will be one of the points of intersection.

Then, take the other x-value and place it into either of the two original equations,

this x-value and y-value will be the other point of intersection.

geno3141 Jun 16, 2020