The game directors designed the games so that neither
Reshiram or Zekrom can be shiny. You'll have to use Action Replay or cheat.
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It's impossible unless you use Action Replay- Gamefreak programmed it so you cannot get a shiny Reshiram through normal means. Forcing the legit Reshiram to be shiny will result in game freeze, the only way to get Shiny Reshiram is through Pokemon Modifier and Shiny Code.
Reshiram is a Pokemon that is exclusive to the Black and White games; since Black and White were made after HeartGold and SoulSilver were released, it is impossible to get a legitimate Reshiram on your game.
No they programmed the game so you can't catch shiny victini, reshiram, and zekrom. All other pokemon can be found shiny.
Unless you cheat, you can only obtain Reshiram in Pokemon black. You will need to trade to Pokemon black if you have white for zekrom to be in Pokemon black.
Yes you can catch Reshiram in Pokemon black and you can catch zekrom in Pokemon white hope it helped.