SOLUTION: If a+b=6/3 and ab=4/3 ,then find the value of a/b+b/a+2[1/a +1/b]

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Question 1077614: If a+b=6/3 and ab=4/3 ,then find the value of a/b+b/a+2[1/a +1/b]
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!






Substitute for .






-------THIS STEP IS MISTAKE. THE REST IS WRONG.


-----------------------------------------------------------------
Substitute for .




-----Not correct
Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.
If a+b=6/3 and ab=4/3 ,then find the value of a/b+b/a+2[1/a +1/b]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Separate  a/b+b/a+2[1/a +1/b]  in two parts:

  and   and evaluate each part SEPARATELY.

Also notice that a + b =  = 2.



1.   =  =  =  =  -  =  -  =  -  =  -  = 3 - 2 = 1.


    Everywhere where it is possible, I replaced (a+b) by 2 and ab by (4/3).


2.   =  =  =  = 3.


    Again, everywhere where it is possible, I replaced (a+b) by 2 and ab by (4/3).



3.  The last step is to combine what you get in n.1 and in n.2. Then you have


    a/b+b/a+2[1/a +1/b]  = 1 + 3 = 4.


Answer. a/b+b/a+2[1/a +1/b] = 4.


Do not spend your time reading "the solution" by "josgarithmetic".

IT IS WRONG.

Simply IGNORE it.


This person has no any understanding/ (has no any knowledge) how to solve such problems, but always tends to be before me.



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