MatemáticasBásico1 respuestas

2(x + 3) (x + 2) + 5 = (x + 3)(x + 1) + 6 me piden desarrollo?

2(x + 3) (x + 2) + 5 = (x + 3)(x + 1) + 6 me piden desarrollo.

En resumen

2(x + 3)(x + 2) + 5 = (x + 3)(x + 1) + 6 (2x + 6)(x + 2) + 5 = x ^ 2 + x + 3x + 3 + 6 2x ^ 2 + 4x + 6x + 12 + 6 = x ^ 2 + 4x + 9 2x ^ 2 + 10x + 18 = x ^ 2 + 4x + 9 2x ^ 2 - x ^ 2 + 10x - 4x + 18 - 9 = 0 x ^ 2 + 6x + 9 = 0 (x + 3)(x + 3) = 0 x1 = - 3 x2 = - 3.

Mejor respuesta

5

2(x + 3)(x + 2) + 5 = (x + 3)(x + 1) + 6

(2x + 6)(x + 2) + 5 = x ^ 2 + x + 3x + 3 + 6

2x ^ 2 + 4x + 6x + 12 + 6 = x ^ 2 + 4x + 9

2x ^ 2 + 10x + 18 = x ^ 2 + 4x + 9

2x ^ 2 - x ^ 2 + 10x - 4x + 18 - 9 = 0

x ^ 2 + 6x + 9 = 0

(x + 3)(x + 3) = 0

x1 = - 3

x2 = - 3.