Question

m apartine R astfel in cat ecuatia x^2-2x+m=0 sa admita radicinile reale
a)
X unu + X doi = 3X unu ×3X doi

Answer 1

radacini reale 4-4m≥0

x1+x2=9x1x2⇒2=9m adica m=2/9

1-m≥0  deci 1≥m adica m≤1

deci m=2/9 radacini reale diferite si x1+x2=9x1x2