已知x=3+12,y=3-12,求3x2-5xy+3y2的值.

问题描述:

已知x=

3
+1
2
y=
3
-1
2
,求3x2-5xy+3y2的值.

x=

3
+1
2
y=
3
-1
2

∴x+y=
3
,xy=
1
2

∴原式=3(x+y)2-11xy
=3×(
3
2-11×
1
2

=
7
2