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Red nuggets the relics of the first massive galaxies can be observed in the high-redshift (zvirgul2) universe. Their local analogs form a more scarce population with only a few confirmed examples. However due to their proximity only this nearby population allows for detailed studies. X-ray observations are especially important as they may provide a unique snapshot on the first phase of the formation of galaxies and their central black hole (BH) and on the more recent evolution of these systems. To double the sample of local relics with X-ray information we propose joint Chandra and XMM-Newton observation of two relic galaxies. Our proposed program will establish a complete X-ray survey of nearby isolated relic galaxies and probe the relation between BHs bulges and dark matter halos. [truncated! Please see actual data for full text]