Question 258748
x-y=4sqrt(3)
xy=8
.
y=8/x
x-8/x=4sqrt(3)
x^2-8=4xsqrt(3)
x^2-4xsqrt(3)-8=0
x^2-4xsqrt(3)+12=8+12 complete the square.
|x-2sqrt(3)|=+-2sqrt(5) Take sqrt of each side.
x=2sqrt(3)+-2sqrt(5)
.
Ed