问题
解答题
设x1、x2是方程2x2-5x-6=0的两根,求
|
答案
根据根与系数的关系得:x1+x2=
,x1•x2=-3.5 2
∴
+1 x 21
=1 x 22
=
+x 21 x 22 x 21 x 22
=
+x 21
+2x1x2-2x1x2x 21 x 21 x 22
=(x1+x2)2-2x1x2 x 21 x 22
=(
)2+2×35 2 32
.49 36
设x1、x2是方程2x2-5x-6=0的两根,求
|
根据根与系数的关系得:x1+x2=
,x1•x2=-3.5 2
∴
+1 x 21
=1 x 22
=
+x 21 x 22 x 21 x 22
=
+x 21
+2x1x2-2x1x2x 21 x 21 x 22
=(x1+x2)2-2x1x2 x 21 x 22
=(
)2+2×35 2 32
.49 36