Posted by Ash on Sunday, September 6, 2009 at 1:10pm.
I agree it is a little difficult to solve unless you have learned Newton's method. If not, you can solve it by the bisection method, which is to evaluate the function using trial values of x until the function evaluates to 175.
I will give you a kick-start.
Let
f(x)= x(16-2x)(19-2x)
and knowing that the solution is around 0.68, we try
f(0.6)=0.6(16-2*0.6)(19-2*0.6)=158.064
f(0.7)=179.872
f(0.65)=169.124
So the next tries should lie between 0.65 and 0.7.
Keep on trying until you get a solution to within 1 or two decimals.
Here is a graph of the function f(x).
http://i263.photobucket.com/albums/ii157/mathmate/Ash.png
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