[tex]A(m; - 1)€Gf < = > f(m) = - 1[/tex]
[tex]m {}^{2} - 3m + 1 = - 1[/tex]
[tex]m {}^{2} - 3m + 2 = 0[/tex]
Δ= b²-4ac
Δ = (-3)²- 4×2×1
Δ = 1 > 0
[tex]m1 = \frac{ - b + \sqrt{Δ} }{2a} [/tex]
[tex]m1 = \frac{ - ( - 3) + \sqrt{1} }{2 \times 1} = \frac{4}{2} [/tex]=2
[tex]m2 = \frac{ - b - \sqrt{Δ} }{2a} [/tex]
[tex] m2 = \frac{ - ( - 3) - \sqrt{1} }{2 \times 1} = \frac{2}{2} [/tex]=1
[tex]S =(2;1)[/tex]