Question

2) Resolver a equação

Answer 1

x1 = 2 ; x2 = -1/2

$|x \: \: 1 \: \: x| x \: \: 1| \\ |3 \: \: x \: \: 4| 3 \: \: x | \\ |1 \: \: 3 \: \: 3| 1 \: \: 3 | \\ 3{x}^{2} + 4 + 9x - {x}^{2} - 12x - 9 + 3 = 0 \\ 2 {x}^{2} - 3x - 2 = 0 \\ delta = ( { - 3)}^{2} - 4 \times 2 \times ( - 2) \\ = 9 + 16 \\ = 25 \\ x = \frac{3 + - \sqrt{25} }{2 \times 2} \\ x = \frac{3 + - 5}{4} \\ x1 = \frac{3 + 5}{4} = \frac{8}{4} = 2 \\ x2 = \frac{3 - 5}{4} = \frac{ - 2}{4} = \div 2 = \frac{ - 1}{2}$