Question

please help in following question
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Answer 1

,

Step-by-step explanation:

well this one is a repeated question asked by you

Answer 2

Answer:

let √[6+√[6+ ....... = x

Notice that if we remove a √6 from the beginning, the equation stays the same. So,

we can substitute x into the L.H.S, as follows.

√(6 + x) = x

Now, square on both sides.

6 + x = x²

x² - x - 6 = 0

Using quadratic formula(which I won't be doing here, as I think you know how)

we get that:

x = (1 ±√25)/2

So, there are 2 cases.

i) x = (1 + 5)/2 = 3

ii) x = (1 - 5)/2 = -2

but as -2 isn't an option, answer is 3