SOLUTION: Ques-1 Simplify 1+(1/(1+x))+(1/(1+x))^2+.....infinite Ques-2 If. c+((d-y)/y)=e-1+(f/4)...then find the value of y. Ques-3 If. (4+3√3)/(√7+4√3)=A+&#87

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Question 1093679: Ques-1
Simplify
1+(1/(1+x))+(1/(1+x))^2+.....infinite
Ques-2
If.
c+((d-y)/y)=e-1+(f/4)...then find the value of y.
Ques-3
If.
(4+3√3)/(√7+4√3)=A+√B....then find the value of B-A
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Just two questions:

 

That's an infinite geometric series with first term a1=1 
and common ratio = .

The formula is 














-----


Multiply through by LCD = 4y









Both side contain -4y so we add 4y to both sides
and they will cancel:



Get all three terms containing y on the left side,
and the term that does not contain y on the right:



factor out y on the left side:



Divide both sides by (4c-4e-f)



Edwin
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