Question

X=√30+√30+√30......end infinity. Find the value of X

Answer 1

Step-by-step explanation:

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Answer 2

The value of x is 6.

Given,

x = √30+(√30+(√30+...

To Find,

The value of x.

Solution,

The given expression is

x =  √30+(√30+(√30+...

Now,

x = √(30+x)   {as x = √30+(√30+(√30+...}

Squaring both sides,

x² = 30+x

x²-x-30 = 0

x²-6x+5x-30 = 0

x(x-6)+5(x-6) = 0

(x-6)(x+5) = 0

x = 6 0r -5, -5 is rejected because the value of onder root is always positive.

Hence, the value of x is 6.