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若1t-|t|=3,则1t+|t|的值为.

题目详情
1
t
-|t|=3,则
1
t
+|t|的值为 ___ .
1
t
11tt
1
t
+|t|的值为 ___ .
1
t
11tt
▼优质解答
答案和解析
1
t
-|t|=3>0,
∴t>0,
∴(
1
t
-t)2=t2-2+
1
t2
=9,
∴t2+
1
t2
=11,
∴t2+2+
1
t2
=(t+
1
t
2=13,
解得t+
1
t
=
13

1
t
+|t|=
13

故答案为:
13
1
t
111ttt-|t|=3>0,
∴t>0,
∴(
1
t
-t)2=t2-2+
1
t2
=9,
∴t2+
1
t2
=11,
∴t2+2+
1
t2
=(t+
1
t
2=13,
解得t+
1
t
=
13

1
t
+|t|=
13

故答案为:
13
1
t
111ttt-t)22=t22-2+
1
t2
=9,
∴t2+
1
t2
=11,
∴t2+2+
1
t2
=(t+
1
t
2=13,
解得t+
1
t
=
13

1
t
+|t|=
13

故答案为:
13
1
t2
111t2t2t22=9,
∴t22+
1
t2
=11,
∴t2+2+
1
t2
=(t+
1
t
2=13,
解得t+
1
t
=
13

1
t
+|t|=
13

故答案为:
13
1
t2
111t2t2t22=11,
∴t22+2+
1
t2
=(t+
1
t
2=13,
解得t+
1
t
=
13

1
t
+|t|=
13

故答案为:
13
1
t2
111t2t2t22=(t+
1
t
2=13,
解得t+
1
t
=
13

1
t
+|t|=
13

故答案为:
13
1
t
111ttt)22=13,
解得t+
1
t
=
13

1
t
+|t|=
13

故答案为:
13
1
t
111ttt=
13

1
t
+|t|=
13

故答案为:
13
13
13
1313,
1
t
+|t|=
13

故答案为:
13
1
t
111ttt+|t|=
13

故答案为:
13
13
13
1313.
故答案为:
13
13
13
1313.