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Aplicas productos notables.
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
(x + 2) - (x - 3)² = 13
x² + 2(x)(2) + 2² - (x² - 2(x)(3) + (3)² = 13
x² + 4x + 4 - (x² - 6x + 9) = 13
x² + 4x + 4 - x² + 6x - 9 = 13
10x - 5 = 13
10x = 13 + 5
10x = 18
x = 10/18 simplificas sacas mitad
x = 5/9
Respuesta.
x = 5/9