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³√(x² + 5x + 9) = 5 - 2
³√(x² + 5x + 9) = 3
Elevamos al cubo a ambos lados para eliminar la raíz cubica:
[ ³√(x² + 5x + 9) ]³ = (3)³
x² + 5x + 9 = 27
x² + 5x + 9 - 27 = 0
x² + 5x - 18 = 0 → a = 1, b = 5, c = - 18
¡Usare formula general!
x = [(- b ± √(b² - 4ac)] / 2a
Reemplazando:
x = [(- 5) ± √((5²) - 4(1)(-18))] / 2(1)
Valores de "x":
Para +√... x ≈ 2.42
Para -√... x ≈ - 7.42
Espero haberte ayudado, saludos!