x<0 doesn't work, since all squares are positive,
x-1 < 0; x< 1
That works until 0 is reached, so the interval that works is (0,1). When fractions under 1 are squared, they become less than the original number. (1/2) ^2= (1/4).
Note: While dividing by x at the beginning gives you the correct answer, it removes one other root from consideration, so move all the variables to one side.