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## Homework Statement

Determine the value of k for which the graphs of p(x) = x + 2 x + 3 and q(x) = k + 5 x - 7 x

enclose an area of exactly 36. Be sure to use text regions to annotate your work (i.e. explain your reasoning).

## Homework Equations

## The Attempt at a Solution

So what i tried doing first was finding the points of intersection at a and b to set up my integral and ended up with 3 plus/minus the sqrt(-87) all divided by 16. so I found my a and b values.

Ive attempted in differentiating this question using differential equations methods, and I dont seem to be getting the answer im looking for.

At this point, I dont know where to go from here, Help would be kindly appreciated!

Thank you!