1、由韦达定理有:x1+x2=2,x1x2=-1
因此:x1+x2+2x1、x2=2+2×(-1)=2-2=0
2、由韦达定理有:x1+x2=4/3,x1x2=1/3
(1)x1²+x2² =(x1+x2)²-2x1x2=(4/3)²-2×(1/3)=16/9 -2/3=10/9
(2)(X1-X2)² =(x1+x2)² -4x1x2=(4/3)²-4×(1/3)=16/9 -4/3=16/9- 12/9=4/9
1、由韦达定理有:x1+x2=2,x1x2=-1
因此:x1+x2+2x1、x2=2+2×(-1)=2-2=0
2、由韦达定理有:x1+x2=4/3,x1x2=1/3
(1)x1²+x2² =(x1+x2)²-2x1x2=(4/3)²-2×(1/3)=16/9 -2/3=10/9
(2)(X1-X2)² =(x1+x2)² -4x1x2=(4/3)²-4×(1/3)=16/9 -4/3=16/9- 12/9=4/9