Question

resuelve la ecuacion
(2x + 3)²=81
(preparatoria)

Answer 1

Leslie,
Vamos paso a paso

1° efectuar
                     4x^2 + 12x + 9 = 81

2° preparar ecuación
                    4x^2 + 12x - 72 = 0

3° factorizar
                          4(x−3)(x+6) = 0
                    
4° por lo menos un factor debe ser nulo
                           x - 3 = 0
                                            x1 = 3
                           x + 6 = 0
                                            x2 = - 6

5° solución
                        S = {- 6, 3}