Find Value of k for Graphs to Enclose Area of 36

[Twoacross]

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 don't seem to be getting the answer I am looking for.

At this point, I don't know where to go from here, Help would be kindly appreciated!

Thank you!

 

[LCKurtz]

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 don't seem to be getting the answer I am looking for.

At this point, I don't know where to go from here, Help would be kindly appreciated!

Thank you!

Your first step would be to state the problem correctly. Maybe you need to use the X² button. You have given two strangely written equations of straight lines which, by themselves, can't enclose an area.