Question

(m+3)x^2-2(m-2)x+m-1=0 sa se determine m stiind ca 2(x1+x2)+x1x2=3

Answer 1

relatia  2 · S   + P = 3  
S = 2 ( m -2 ) / ( m +3 )  cu m+3 ≠0  ; m≠ - 3 
P = ( m -1 ) / ( m +3 ) 
4 ( m -2 ) / ( m+3 )  + ( m-1 ) / ( m+3 )  =3 
4m - 8 + m -1 = 3m  +9 
5m -3m = 9 +8+1
2m = 18
m=9