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“Bhāskara II's Bījagaṇita §139 (1150 CE, Colebrooke trans.) poses (x/8)² + 12 = x and derives both roots, x = 48 and x = 16, noting both satisfy the conditions. Companion problems show the other case: where a root is negative or otherwise inconsistent with the problem, it is declared incongruous and dropped — "people do not approve a negative absolute number." Two-root awareness plus root-validity screening, standard curriculum in 1150; Descartes was still calling negative roots "false" in 1637. ”
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