Question

Sa se determine m astfel incat:
{X apartine IR | x2(patrat) + mx -1 =0} -{ -2, 1pe 2} = multimea vida

Answer 1

x^2 +mx-1=0

x=-2:
(-2)^2 -2m-1=0
4-2m-1=0
2m=3
m=3/2

x=1/2
(1/2)^2 +m/2 -1=0
1/4 +m/2 -1=0
m/2=3/4
m=3/2

Concluzie: pt. m=3/2 avem indeplinita conditia problemei.