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Two parabolas are the graphs of the equations $y=2x^2-7x+1$ and $y=8x^2+5x+1$. Give all points where they intersect. List the points in order of increasing x-coordinate, separated by semicolons.

 Apr 12, 2021
 #1
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Where they intersect , they are equal....

 

2x^2 - 7x + 1        =        8x^2 + 5x + 1       gather all terms to one side and simplify

6x^2 + 12x  = 0

6x ( x+2)  = 0        so the   'x' coordinates of the two points of intersection are   0   and  -2

                              use these values of 'x' in either of the equations to calculate the corresponding 'y' coordinates of the intersection points

 Apr 13, 2021

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