Question

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

Answer 1

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