Question

x²+5/2 x -3/2=0 qual é o cálculo ?​

Answer 1

${x}^{2} + \frac{5}{2} x + - \frac{3}{2} = 0 \: \: \: \: \: \: \times (2) \\ 2 {x}^{2} + 5x - 3 = 0 \\ a = 2 \\ b = 5 \\ c = - 3 \\ x = \frac{ - b + - \sqrt{ {b}^{2} - 4 \times a \times c } }{2 \times a} \\ x = \frac{ - ( + 5) + - \sqrt{ {5}^{2} - 4 \times 2 \times ( - 3) } }{2 \times 2} \\ x = \frac{ - 5 + - \sqrt{25 + 24} }{4} \\ x = \frac{ - 5 + - \sqrt{49} }{4} \\ x = \frac{ - 5 + - 7}{4} \\ x1 = \frac{ - 5 + 7}{4} = \frac{2}{4} = \frac{1}{2} \\ x2 = \frac{ - 5 - 7}{4} = \frac{ - 12}{4} = - 3$