if x = 4/1+(4/1+(4/1+(4/1+(4 ........))))......upto infinite then x^2 + x = ?

M4maths Previous Puzzles

06 Mar 2012 infinite sequence if x = 4/1+(4/1+(4/1+(4/1+(4 ........))))......upto infinite then x^2 + x = ?: OPtion
1) 1
2) 2
3) 3
4) 4
5) 5
6) 6
7) 7
8) 8
9) 9
10) none of these; Correct Option: 4 Best Solution (6)

Bimal 13 years AGO

If correct statement is

if x = 4/(1+(4/1+(4/1+(4/1+(4 ........))))......upto infinite
then x^2 + x = ?

then
x=4/(1+x)
x^2+x=4

Like? Yes (3) | No

Balakrishnan M 13 years AGO

x = 4/1+(4/1+(4/1+(4/1+(4 ........))))......upto infinite
Consider t=1+(4/t)
t^2=4+t
x=4/t
x^2+x=(16/t^2)+(4/t)
= (16+4t)/t^2
= 4(4+t)/t^2
= 4t^2/t^2
= 4

Like? Yes (2) | No (1)

Rakesh Kumar Kohli 13 years AGO

x = 4 / (1 + x)
=> x ^ 2 + x = 4
Hence Ans. 4) 4

Like? Yes (1) | No (1)

Tijo Jose 13 years AGO

x = 4/1+(4/1+(4/1+(4/1+(4 ...))))...
= 4/(1+x)
So, x(1+x) = 4
i.e.,x^2+x = 4

Like? Yes (1) | No (1)

Prashant Iyer 13 years AGO

4/(1+x)= x

x^2 + x = 4

Like? Yes (1) | No (1)

~Sandeep~ 13 years AGO

x = 4/1+(4/1+(4/1+(4/1+(4 ........))))
=> x = 4/1+x
=> x^2+x =4 (Option 4)

Like? Yes (1) | No (2)

Dimple

India

Punjab

Time: 00:01:33

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if x = 4/1+(4/1+(4/1+(4/1+(4 ........))))......upto infinite then x^2 + x = ?

M4maths Previous Puzzles

06 Mar 2012 infinite sequence