Finding intersection points of xsin(x) and (x-6)²

[danerape]

Homework Statement

xsin(x)=(x-6)^2


This is for a solid of revolution problem, and I am trying to set these equal to each other to find the points of intersection. How can I solve this equation?

Thanks

Homework Equations

The Attempt at a Solution

 

[gb7nash]

Do you know Newton's method? You'll have to resort to an iterative technique. This can't be solved algebraically.

 

[danerape]

Yeah, I know Newtons method, but really would have rather not resorted to that...LoL... anyways, I did not believe it to be solvable algebraically, but then again, I never took a trig class.


Thanks

 

[stallionx]

Homework Statement

xsin(x)=(x-6)^2


This is for a solid of revolution problem, and I am trying to set these equal to each other to find the points of intersection. How can I solve this equation?

Thanks

Homework Equations

The Attempt at a Solution

Maybe if for very minute x value you can set sinx=x ?