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Se considera ecuatia x patrat -2x +m cu solutiile reale x1 si x2 . determinati m stiind ca modul de x1-x2 = 1

Răspuns :

[tex] \left \{ {{x1-x2=1} \atop {x1+x2=2}} \right. [/tex] ⇒ [tex] \left \{ {{x1-x2=1} \atop {2x1=3}} \right. [/tex] ⇒ [tex] \left \{ {{x2=1,5-1} \atop {x1=1,5}} \right. [/tex] ⇒ [tex] \left \{ {{x2=0,5} \atop {x1=1,5}} \right. [/tex]
m=x1*x2⇒m=0,5*1,5=0,75