Question

若x＞

1

4

，则

x+ 1 2 + 1 2 4x+1

-

x+ 1 2 - 1 2 4x+1

=______．

Answer 1

x+ 1 2 ± 1 2 4x+1

=

2x+1± 4x+1 2

=

1

2

4x+2±2 4x+1

=

1

2

( 4x+1 ±1)2

=

1

2

|

4x+1

±1|，
当x＞

1

4

时，原式=

1

2

(

4x+1

+1)-

1

2

(

4x+1

-1)=1．