Question 479463
to continue
(10-2x)^2*x
(100-40x+4x^2)*x= Volume

100x-40x^2+4x^3= Vol

dv = 100-80x+12x^2

You get maximum volume when dv =0

12x^2-80x+100=0
Find the roots of the equation by quadratic formula								
								
a=	12	,b=	-80	,c=	100						
b^2-4ac=	6400	-	-4800					
b^2-4ac=	1600			
{{{sqrt(	1600	)}}}=	40	
{{{x=(-b+-sqrt(b^2-4ac))/(2a)}}}								
{{{x1=(-b+sqrt(b^2-4ac))/(2a)}}}								
x1=(	80	+	40	)/	24			
x1=	5							
x2=(	80	-40	) /	24				
x2= 	1.67							
cut off square = 1.67   x 1.67