Question

25. Sa se determine  m∈R stiind ca solutiile xi si xz ale ecuatiei x²- (2m+1)x + 3m=0 verifica x1+x2+x1·x2=11

Answer 1

[tex]x^2- (2m+1)x + 3m=0\\ S=x_1+x_2=-\frac{b}{a}=2m+1\\ P=x_1\cdot x_2=\frac{c}{a}=3m\\ S+P=11\\ 2m+1+3m=11\\ 5m=10\\ m=2[/tex]