Solution
1. Rd8+ Kc7 2. Qb6# uses X-ray to checkmate the king and defend the d8-rook at the same time.
Or
1. Rd8+ Qc8 2. Rxc8 wins material.
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1. Rd8+ Kc7 2. Qb6# uses X-ray to checkmate the king and defend the d8-rook at the same time.
Or
1. Rd8+ Qc8 2. Rxc8 wins material.