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Two parabolas are the graphs of the equations y= 2x^2 - 7x + 1 and y = 8x^2 - 25x + 13. Give all points where they intersect. List the points in order of increasing x-coordinate, separated by semicolons.

 May 13, 2021
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$2x^2 - 7x + 1 = 8x^2 - 25x + 13$

$6x^2 - 18x + 12 = 0$

$x^2 - 3x + 2 = 0$

$(x-2)(x-1)=0$

$x=2; x=1$

$\boxed{(2,0), (1,0)}$

 May 13, 2021

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