MHB Integration Help: Finding x-coord of Point A with y= bx(x -2)

[kais001]

hey guys,
I am stuck on a question which is
The curve in the picture shown has equation y = bx(x − 2).
(a) Find b given that the shaded area is 4 units 2
(b) Find the x−coordinate of the point A if the line OA divides the shaded area into equal parts.



Ive done part (a) which shows b=-3. From here I am a little stuck. any help would be appreciated

 

[MarkFL]

Hello and welcome to MHB, kais001! :D

I would invite you to read the following thread, in which this problem is discussed:

http://mathhelpboards.com/questions-other-sites-52/phyllis-question-yahoo-answers-regarding-finding-line-divides-area-into-equal-parts-7197.html

 

[kais001]

well that handles that quite nicely! I am about to head off for the night but tomorrow ill go over it, if i have any questions do you mind answering them? and thankyou very much for that!

 

[MarkFL]

well that handles that quite nicely! I am about to head off for the night but tomorrow ill go over it, if i have any questions do you mind answering them? and thankyou very much for that!

Yes, please feel free to post any questions and I or one of our other helpers will be glad to assist. :)