DEUST 1_1Eq_Deg2

Résoudre :

 $x^2\ +\ 3x\ +\ 1\ =\ 0$  

•  $S\ =\ \left\{\frac{\left(-3\ +\ \sqrt{5}\right)}{2};\ \frac{\left(-3\ \ -\ \sqrt{5}\right)}{2}\right\}$  

•  $\ S\ =\ \left\{\frac{\left(-3\ +\ \sqrt{5}\right)}{2};\ \frac{\left(3\ \ -\ \sqrt{5}\right)}{2}\right\}$  

•  $S\ =\ \ \left\{\frac{\left(3\ +\ \sqrt{5}\right)}{2};\ \frac{\left(3\ \ -\ \sqrt{5}\right)}{2}\right\}$  

•  $S\ =\ \ \left\{\frac{\left(3\ +\ \sqrt{5}\right)}{-2};\ \frac{\left(3\ \ +\ \sqrt{5}\right)}{2}\right\}$  

• Je passe

Résoudre $-x^2\ +\ 6x\ +\ 1\ =\ 0\$  

•  $S\ =\ \phi$  

•  $S\ =\ \left\{\ 0\right\}$  

•  $S\ =\ \left\{-\ 3\ +\ \sqrt{10}\ ;\ 3\ +\ \sqrt{10}\ \right\}$  

•  $S\ =\ \left\{3\ +\ \sqrt{10}\ ;\ 3\ -\ \sqrt{10}\right\}$  

 $x^2\ -\ 2x\ +\ 2\ =\ 0$  

•  $S\ =\ \left\{\ 0\ \right\}$  

•  $S\ =\ \phi$  

•  $S\ =\ \left\{-2\ ;\ 2\ \right\}$  

•  $S\ =\ \left\{\frac{1}{2}\ ;\ -\frac{1}{2}\right\}$  

• Je passe

Résoudre :

 $x^2\ -\ 2x\ +\ 1\ =\ 0$  

•  $S\ =\ \left\{\ 0\ \right\}$  

•  $S\ =\ \phi$  

•  $S\ =\ \left\{\ 1\ \right\}$  

•  $S\ =\ \left\{\ -1\ \right\}$  

• Je passe

Résoudre

 $5x^2\ -\ 2x\ -\ 6\ =\ 0$  

•  $S\ =\ \left\{\frac{\left(1+\sqrt{31}\right)}{5}\ ;\ \frac{\left(1\ +\ \sqrt{31}\right)}{-5}\right\}$  

•  $S\ =\ \left\{\frac{\left(1+\sqrt{31}\right)}{5}\ ;\ \frac{\left(1\ -\ \sqrt{31}\right)}{5}\right\}$  

•  $S\ =\ \left\{\frac{\left(-1+\sqrt{31}\right)}{5}\ ;\ \frac{\left(-1\ -\ \sqrt{31}\right)}{5}\right\}$  

•  $S\ =\ \phi$  

• Je passe