JEE Novice - (12)

Algebra Level 4

Given that

i=12003i2=(2003)(4007)(334), \sum_{i=1}^{2003} i^2 = (2003)(4007)(334),

find the value of xx that satisfies

(1)(2003)+(2)(2002)+(3)(2001)(2003)(1)=(2003)(334)(x). (1)(2003) + (2)(2002)+ (3)(2001) \dots (2003)(1) = (2003)(334)(x).

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