Math, asked by darshuuuuu, 10 months ago

plz solve this...fast urgent

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Answered by DarkBeats

9

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⚡ $\Large{x=2+\sqrt{3}}$ ⚡

To Find--

$\Large{x+\frac{1}{x}}$

Value of -- $\large{\frac{1}{x}}$

➡️ $\frac{1}{x}=\frac{1}{2+\sqrt{3}}$

➡️ $\frac{1}{2+\sqrt{3}}×\frac{2-\sqrt{3}}{2-\sqrt{3}}$

➡️ $\frac{1×(2-\sqrt{3})}{2^2-\sqrt{3}^2}$

➡️ $\frac{2-\sqrt{3}}{4-3}$

➡️ $\frac{1}{x}=2-\sqrt{3}$

Using this in $\large{x+\frac{1}{x}}$

➡️ $2+\sqrt{3}+2-\sqrt{3}$

➡️⭐ $\huge{\orange{Answer=4}}$ ⭐

_______________________________________

Formula Used--

♥️ $\Large{(a-b)(a+b)=a^2-b^2}$ ♥️

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Answered by avman08

0

Answer:

hi here is your answer mate

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