Question

resolver y verificar es para hoy porfavor 4x(x+3)+(x+2)(x-2)=(2×+3)²+x-1​

Answer 1

Respuesta:

x₁ = -3, x₂ = 4

Explicación paso a paso:

$(x+2)(x-2)=(2×+3)²+x-1 \\ 4 {x}^{2} + 12x + {x}^{2} - 4 = 4 {x}^{2} + 12x + 9 + x - 1 \\ {x}^{2} - 4 = 9 + x - 1 \\ {x}^{2} - 4 = 8 + x \\ {x}^{2} - 4 - 8 - x = 0 \\ {x}^{2} - 12 - x = 0 \\ {x}^{2} - x - 12 = 0 \\ {x}^{2} + 3x - 4x - 12 = 0 \\ x \times (x + 3) - 4(x + 3) = 0 \\ (x + 3) \times (x - 4) = 0 \\ x + 3 = 0 \\ x - 4 = 0 \\ x = - 3 \\ x = 4 \\ \\x₁ = - 3 \: . \: x₂ = 4$

Espero te sirva, saludos