Ecuatie

Nicoleta Joi Dec 22, 2011 2:58 am

Rezolvati in R ecuatia |x2 - x - 6|=6

Surprised

**Admin** Sam Dec 24, 2011 1:10 am

Nicoleta a scris:Rezolvati in R ecuatia |x2 - x - 6|=6

Folosind proprietatea modulului putem scrie :
$\left| {{x^2} - x - 6} \right| = 6 \Rightarrow \left\{ \begin{array}{l} {x^2} - x - 6 = 6\\ {x^2} - x - 6 = - 6 \end{array} \right. \Leftrightarrow \left\{ \begin{array}{l} {x^2} - x - 12 = 0\\ {x^2} - x = 0 \end{array} \right. \Rightarrow \left\{ \begin{array}{l} {x_1} = - 3,{x_2} = 4\\ {x_3} = 0,{x_4} = 1 \end{array} \right.$

Ecuatie

Ecuatie

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