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Aplicas productos notables.
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
(x - 2)² - 6 = (x + 1)²
x² - 2(x)(2) + 2² - 6 = x² + 2(x)(1) + 1²
x² - 4x + 4 - 6 = x² + 2x + 1
x² - 4x - 2 = x² + 2x + 1 Simplificas x²
- 4x - 2 = 2x + 1
-2 - 1 = 2x + 4x
- 3 = 6x
-3/6 = x Simplificas sacas 3ra
- 1/2 = x
Respuesta.
x = - 1/2