Question

resolva em C cada equação x2-10x+40=0

Answer 1

          A equação terá suas raízes em C se o seu discriminante, Δ < 0

                                          Δ = b² - 4.a.c
                                              = (-10)² - 4(1)(40)
                                              = 100 - 160
                                              = - 60
                                                    DUAS RAÍZES DIFERENTES EM C

        Aplicando a fórmula geral
                                                    x = (- b +/- √Δ)/2a
                                                       = [10 +/- √(-60)]/2
                                                       = [10 +/- 2√(-15)]/2
                                                       = [5 +/- √(-15)]
                                                    x1 = 5 - (√15)i
                                                    x2 = 5 + (√15)i
          S = { 5 - (√15)i, 5 + (√15)i }