sqrt(x+sqrt(x+sqrt(x+sqrt(x))))=2;
Find the value of x?
Answer Posted / soundararajan krishnan
I think the actual question may be like
sqrt(x+sqrt(x+sqrt(x+sqrt(x+...))))=2;
Find the value of x?
When we solve this the value of x is 2.
Let A = sqrt(x+sqrt(x+sqrt(x+sqrt(x+...)))) ------(1)
We can write this as,
A = sqrt (x+A) ------(2) using formula (1)
Since A = sqrt(x+sqrt(x+sqrt(x+sqrt(x+...)))) = 2,
we can write the equation (2) as,
2 = sqrt(x+2)
square this equation,
4 = x+2
Then x = 2.
| Is This Answer Correct ? | 20 Yes | 4 No |
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