Math, asked by ritamghosh91, 1 year ago

X equals to 1 upon 2 minus 1 upon 2 minus 1 upon 2 minus x

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Answers

Answered by Yashika853649
108
I hope mate this helps you
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Answered by boffeemadrid
82

Answer:

x=1

Step-by-step explanation:

The given equation is:

x=\frac{1}{2-\frac{1}{2-\frac{1}{2-x}}}

On solving this equation, we get

x=\frac{1}{2-\frac{2-x}{4-2x-1}}

x=\frac{4-2x-1}{8-4x-2-2+x}

x=\frac{3-2x}{4-3x}

cross multiplying, we get

4x-3x^2=3-2x

3x^2-4x-2x+3=0

3x^2-6x+3=0

3x^2-3x-3x+3=0

3x(x-1)-3(x-1)=0

(3x-3)(x-1)=0

3(x-1)(x-2)=0

Thus, (x-1)^2=0

Therefore, the value of x is 1.

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