Doubt in Maths

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Hi friends,

I saw many people involving in CA club trying to help others by clearing their doubts in problems for general questions etc.I m very much impressed to see the people who are really helping others.

Will anyone please help me out in finding the method of solution for these questions

1. The values of 4+ 1/ 4+ 1/ 4+ 1/ 4+.......2 (in chapter equations in QA)

2. If the sum of the roots of the quadratic equation ax^2+bx+c=0 is equal to the sum of the squares of their reciprocals then b^2/ac + bc/a^2 is equal to

3. The sum of two numbers is 45 and the mean proportional between them is 18. The numbers are

Anybody please help me in solving these questions, it will be very grateful to you.

Thank you

Replies (1)
These are just my method which I applied for CPT. The actual lengthy method might be different so please forgive my naïveté’s.
Q1.  4+1/4+1/4+1/4+2
1st calculate 1/6, u get .166667 and add this value to 4 and you will get 4.166667
Now again do 1/4.166667 and u get .23999 and add it to 4 u get 4.239999
Once more when you do 1/4.239999 u get .23584 which can be taken as .236
Therefore the answer here comes to 2 ± (root of) 5.
Q3. X+Y=45 and X, 18, Y are in G.P.
Therefore, 182=X.Y or X=324/Y
Now we get, 324/Y+Y=45 or rearranging, Y2-45Y+324=0
Solving the quadratic equation we get Y=9 or Y=36 and hence the two numbers are 9 and 36.

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