(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

For all all lines which meet the graph y = 2x^4+7x^3+3x-5 at four distinct points, what is the sum of the x-coordinates of the four points of intersection?

2. Relevant equations

3. The attempt at a solution

So, you obviously set ax+b =2x^4+7x^3+3x-5, but how do you find the zero's of that?

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# Intersections of a line and a curve

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