Question 948045
ASSING VARIABLES
h=2, the sidelength of square to cut and remove
x, the dimensions of the initial square piece to form the pan
v=441, volume of resulting open pan


{{{(x-2h)(x-2h)h=v}}} which is a quadratic equaion in the unknonw variable, x.
{{{x^2-4hx+4h^2=v/h}}}
{{{x^2-4hx+4h^2-v/h=0}}}
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Or better, take advantage of the square part of the expressions,
{{{(x-2h)^2=v/h}}}
{{{x-2h=0+- sqrt(v/h)}}}
{{{highlight(x=2h+- sqrt(v/h))}}}, completely in symbolic form; and understand that one of these
solutions will be good and the other will be meaningless.


Substitute the values:
{{{x=2*2+- sqrt(441/2)}}}
You want the PLUS square root form.
{{{highlight(x=4+21/sqrt(2))}}}



You might want to show this as {{{highlight((8+21*sqrt(2))/2)}}}.
About 18.849   or 18.9.