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√(x) ≥ √(x+27) - 1
.
√(x) + 1 ≥ √(x+27)
(√(x) + 1)² ≥ (√(x+27))²
x + 1 + 2√(x) ≥ x + 27
x - x + 2√x ≥ 27 - 1
2√(x) ≥ 26
√(x) ≥ 26/2
√(x) ≥ 13
x ≥ 13²
x ≥ 169