有没有好办法?

来源: cma 2011-07-11 09:09:55 [] [旧帖] [给我悄悄话] 本文已被阅读: 次 (123 bytes)

The quadratic polynomial f(x) has a zero at x=2. The polynomial f(f(x)) has only one real zero at x=5. Compute f(0).

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回复:有没有好办法? -jinjing- 给 jinjing 发送悄悄话 (92 bytes) () 07/11/2011 postreply 13:37:17

回复:回复:有没有好办法? -cma- 给 cma 发送悄悄话 (57 bytes) () 07/11/2011 postreply 14:36:14

回复:回复:回复:有没有好办法? -jinjing- 给 jinjing 发送悄悄话 (267 bytes) () 07/11/2011 postreply 15:07:34

回复:回复:回复:回复:有没有好办法? -cma- 给 cma 发送悄悄话 (111 bytes) () 07/11/2011 postreply 15:21:06

If they are not both 0, 5 is not only one root. -jinjing- 给 jinjing 发送悄悄话 (0 bytes) () 07/12/2011 postreply 07:11:08

[a*3*(5-b)-2]=0 or [a*3*(5-b)-b)]=0.It can't get answer.Only bot -jinjing- 给 jinjing 发送悄悄话 (61 bytes) () 07/12/2011 postreply 10:37:39

5 -乱弹- 给 乱弹 发送悄悄话 乱弹 的博客首页 (0 bytes) () 07/12/2011 postreply 20:13:46

愿闻其详. -jinjing- 给 jinjing 发送悄悄话 (0 bytes) () 07/13/2011 postreply 05:18:53

不知道答案,但可列两个方程。 -乱弹- 给 乱弹 发送悄悄话 乱弹 的博客首页 (0 bytes) () 07/12/2011 postreply 20:17:43

回复:有没有好办法? -康MM- 给 康MM 发送悄悄话 康MM 的博客首页 (91 bytes) () 07/13/2011 postreply 16:49:19

回复:回复:有没有好办法? -15少- 给 15少 发送悄悄话 15少 的博客首页 (155 bytes) () 07/14/2011 postreply 06:57:08

回复:回复:回复:有没有好办法? -康MM- 给 康MM 发送悄悄话 康MM 的博客首页 (72 bytes) () 07/14/2011 postreply 08:43:07

Please explain. -15少- 给 15少 发送悄悄话 15少 的博客首页 (0 bytes) () 07/14/2011 postreply 10:22:52

if change to -15少- 给 15少 发送悄悄话 15少 的博客首页 (201 bytes) () 07/14/2011 postreply 10:26:58

回复:回复:回复:回复:有没有好办法? -康MM- 给 康MM 发送悄悄话 康MM 的博客首页 (105 bytes) () 07/14/2011 postreply 12:01:02

good -15少- 给 15少 发送悄悄话 15少 的博客首页 (0 bytes) () 07/14/2011 postreply 13:24:29

Why? if f(8)=0,b=8? -jinjing- 给 jinjing 发送悄悄话 (0 bytes) () 07/15/2011 postreply 21:06:13

Assume f(x)'s coefficients are all real; -乱弹- 给 乱弹 发送悄悄话 乱弹 的博客首页 (274 bytes) () 07/13/2011 postreply 16:56:53

回复:Assume f(x)'s coefficients are all real; -jinjing- 给 jinjing 发送悄悄话 (247 bytes) () 07/13/2011 postreply 20:37:56

Did not read this before send my post, which is the same. -wxcfan123- 给 wxcfan123 发送悄悄话 (0 bytes) () 07/15/2011 postreply 16:41:21

Dear mca,I'm sorry, my answer is wrong as misunderstanding the Q -jinjing- 给 jinjing 发送悄悄话 (0 bytes) () 07/14/2011 postreply 06:05:12

-32/9 -15少- 给 15少 发送悄悄话 15少 的博客首页 (286 bytes) () 07/14/2011 postreply 06:40:13

two solutions:-32/9 and -128/9. -jinjing- 给 jinjing 发送悄悄话 (0 bytes) () 07/14/2011 postreply 10:42:34

no sir! -15少- 给 15少 发送悄悄话 15少 的博客首页 (0 bytes) () 07/14/2011 postreply 11:29:04

yes,b=2,OK,b=8,fof has 5,5+(-)3SQUAT3/2,3roots.not good. -jinjing- 给 jinjing 发送悄悄话 (34 bytes) () 07/14/2011 postreply 16:43:38

follow jinjing -wxcfan123- 给 wxcfan123 发送悄悄话 (364 bytes) () 07/15/2011 postreply 10:28:27

谢谢您给我打气, -jinjing- 给 jinjing 发送悄悄话 (119 bytes) () 07/15/2011 postreply 11:13:27

回复:谢谢您给我打气, -wxcfan123- 给 wxcfan123 发送悄悄话 (234 bytes) () 07/15/2011 postreply 14:13:18

If you solve a from I, should prove II does not have real root, -wxcfan123- 给 wxcfan123 发送悄悄话 (0 bytes) () 07/15/2011 postreply 14:41:19

Wrong way is always as wrong reason. -jinjing- 给 jinjing 发送悄悄话 (152 bytes) () 07/15/2011 postreply 15:21:12

Math is not riddle -15少- 给 15少 发送悄悄话 15少 的博客首页 (655 bytes) () 07/15/2011 postreply 15:20:39

回复:Math is not riddle -jinjing- 给 jinjing 发送悄悄话 (273 bytes) () 07/15/2011 postreply 16:03:10

Why make stupid calcul when -15少- 给 15少 发送悄悄话 15少 的博客首页 (815 bytes) () 07/15/2011 postreply 17:33:47

You totally misunderstanding me, f(x)=a(X-5)^2+b,why b=2? you te -jinjing- 给 jinjing 发送悄悄话 (37 bytes) () 07/15/2011 postreply 18:04:50

you tell me,please,not 8. -jinjing- 给 jinjing 发送悄悄话 (0 bytes) () 07/15/2011 postreply 18:07:08

Ms. Kang has explained, her explanation is not as clear as you d -15少- 给 15少 发送悄悄话 15少 的博客首页 (461 bytes) () 07/16/2011 postreply 06:30:03

Why f(8)=0?Cs we use a Thm, It is unknow for most people here. -jinjing- 给 jinjing 发送悄悄话 (493 bytes) () 07/16/2011 postreply 08:19:30

You like calcul -15少- 给 15少 发送悄悄话 15少 的博客首页 (329 bytes) () 07/16/2011 postreply 09:10:20

回复:You totally misunderstanding me, f(x)=a(X-5)^2+b,why b=2? you -15少- 给 15少 发送悄悄话 15少 的博客首页 (1365 bytes) () 07/16/2011 postreply 06:09:01

cma,where have you been? Following is my solution for you, -jinjing- 给 jinjing 发送悄悄话 (330 bytes) () 07/15/2011 postreply 18:57:47

An elegant way to get jingin's wrong answer 8/9 -15少- 给 15少 发送悄悄话 15少 的博客首页 (634 bytes) () 07/16/2011 postreply 08:52:07

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