$2003^2x^2 - (2002)(2004)x - 1 = 0$
$x^2+2002x - 2003 = 0$
What is the difference of the 1st equation's larger root and the smaller root of the 2nd equation?
I did not know how to approach this, so I used the quadratic formula but could not easily simplify the expressions. What properties will be used ?
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