What is the value of

Question

What is the value of 4.23.png ? A. 1 B. 2 C. 3 D. 4 E. 5

LevanKhukhunashvili · Accepted Answer

Here is the approach

Let the whole expression be x
We can observe that 6 is divided by x too, as the division process is endless, so we have got
x=1+ \frac{6}{x} 
 x^2 -x-6=0
(x-3)(x+2)=0
x=3; x=-2

IMO
Ans:  C

Albs · Answer

LevanKhukhunashvili  I understand your working out but how can we observe that 6 is divided by x.

I made mine y=1+ (6/x) . Obviously that is wrong however I don't understand why you made yours x equals

LevanKhukhunashvili · Answer

Please find the similarity between first and the circled part of the second expressions
If the first expression is x
Then the circled part on the second expression must be x as well

Hope it's clear

MathRevolution · Answer

4.25.png This is equivalent to x = 1 + \frac{6}{x} or x^2 = x + 6. Rearranging yields x^2 - x + 6 = 0 or (x+2)(x-3)=0. So, x = -2 or x = 3 . Since x is a positive number, x = 3 . Therefore, the answer is C Answer: C

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What is the value of

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What is the value of

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