# A number theory problem by Anandmay Patel

Number Theory Level pending

Find all 6-digit numbers, made by rearranging the numbers 1, 2, 3, 4, 5, and 6, such that it is divisible by 2 but not by 6 and let the number of such numbers be denoted by $$n$$. Find the sum of all real roots of the equation $$nx^2+5(x-n)-98=0$$.

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