Explicație pas cu pas:
rădăcini reale egale =>
[tex]\Delta = 0[/tex]
[tex] {(m - 1)}^{2} - 4( - m) = 0[/tex]
[tex]{m}^{2} - 2m + 1 + 8m = 0[/tex]
[tex]{m}^{2} + 6m + 1 = 0[/tex]
[tex]\Delta_{m} = 36 - 4 = 32[/tex]
[tex]m_{1,2} = \frac{ - 6 \pm \sqrt{\Delta_{m}} }{2} = \frac{ - 6 \pm \sqrt{32} }{2} = \frac{ - 6 \pm 4\sqrt{2} }{2} = \\ [/tex]
[tex]= \bf - 3\pm 2\sqrt{2}[/tex]
