Question

Quanto é (x+6).(x-2)+16-4=2x.(x²-6)​

Answer 1

Resposta:

$(x+6) \times (x-2)+16-4=2x \times (x²-6) \\ \\ {x}^{2} - 2x + 6x - 12 + 16 - 4 = 2 {x}^{3} - 12x \\ {x}^{2} + 4x + 0 = {2x}^{3} - 12x \\ {x}^{2} + 4x = {2x}^{2} - 12x \\ {x}^{2} + 4x - {2x}^{3} + 12x = 0 \\ {x}^{2} + 16x - 2 {x}^{3} = 0 \\ x \times (x + 16 - 2 {x}^{2} ) = 0 \\ x = 0 \\ x = \frac{1 + \sqrt{129} }{4} \\ \\ x = \frac{1 - \sqrt{129} }{4} \\ \\ x1 = \frac{1 - \sqrt{129} }{4} \: \: \: \: x2 = 0 \: \: \: \: x3 = \frac{1 + \sqrt{129} }{4}$