Question

If a number is decreased by its square the result is 2/9. find the number

Answer 1

Let x be the number.
x-x²=2/9, so 9x-9x²=2 or 9x²-9x+2=0=(3x-2)(3x-1). Therefore x=2/3 or 1/3.
Check: 2/3-4/9=6/9-4/9=2/9 and 1/3-1/9=3/9-1/9=2/9.