问题
填空题
已知x1,x2是方程x2+6x+3=0的两根,则
|
答案
∵
+x2 x1
=x1 x2
=
+x 22 x 21 x1x2
=
+2x1x2+x 22
-2x1x2x 21 x1x2 (
+x 2
)2-2x1x2x 1 x1x2
又∵x1+x2=-6,x1x2=3,
∴原式=
=(-6)2-2×3 3
=10.30 3
故答案为10.
已知x1,x2是方程x2+6x+3=0的两根,则
|
∵
+x2 x1
=x1 x2
=
+x 22 x 21 x1x2
=
+2x1x2+x 22
-2x1x2x 21 x1x2 (
+x 2
)2-2x1x2x 1 x1x2
又∵x1+x2=-6,x1x2=3,
∴原式=
=(-6)2-2×3 3
=10.30 3
故答案为10.