Hello Feep! Since you are trying to to find the minimum value, you can use the vertex formula. a = 1 b = -14 Vertex Formula. [tex]x = -\frac{b}{2a}[/tex] [tex]x = -\frac{(-14)}{2(1)}[/tex] Distrubute the negative to the -14 making it 14 [tex]x = \frac{(14)}{2(1)}[/tex] Times the denominator 2 * 1 = 2 [tex]x = \frac{(14)}{2}[/tex] [tex]x = 7[/tex] So 7 will give the minimum value for x^2- 14x + 3