Help Math Quadratics

Set the two equation equal to each other:  -3x² + 12x - 6  =  2x² - 4x + 3

Get all the terms to one side:                      -5x² + 16x - 9  =  0

Multiply by -1:                                               5x² - 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.

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.