Question

determine o conjunto da solucao da equaçao 4-5x= x2

Answer 1

determine o conjunto da solucao da equaçao 4-5x= x2


$4 - 5x = x^{2} \\ \\ 4 - 5x - x ^{2} = 0 \\ \\ - x^{2} - 5x + 4 = 0 \\ \\ x ^{2} + 5x - 4 = 0 \\ \\ x = \frac{ - 5 + - \sqrt{5^{2} - 4.1.( - 4)} }{2.1} \\ \\ x = - 5 + - \frac{ \sqrt{25 + 16} }{2} \\ \\ x = \frac{ - 5 + - \sqrt{41} }{2} \\ \\ x 1= \frac{ - 5 + \sqrt{41} }{2} \\ \\ x2 = \frac{ - 5 - \sqrt{41} }{2}$