问题
选择题
若方程:x2+2x-1=0的两根为x1、x2,则代数式:
|
答案
∵x1、x2是方程x2+2x-1=0的两个实数根.
∴x1+x2=-2,x1•x2=-1.
∴
+x2 x1
=x1 x2
+x 21 x 22 x1x2
=
+x 21
+2x1x2-2x1x2x 22 x1x2
=(x1+x2)2-2x1x2 x1x2
=
=-6.故选A(-2)2-2×(-1) -1
若方程:x2+2x-1=0的两根为x1、x2,则代数式:
|
∵x1、x2是方程x2+2x-1=0的两个实数根.
∴x1+x2=-2,x1•x2=-1.
∴
+x2 x1
=x1 x2
+x 21 x 22 x1x2
=
+x 21
+2x1x2-2x1x2x 22 x1x2
=(x1+x2)2-2x1x2 x1x2
=
=-6.故选A(-2)2-2×(-1) -1