Math, asked by yashasvi1tripathi, 5 hours ago

if x 1/ √ 3- √ 2then find the value of (x²+1/x²)
please help me guys ​​

Attachments:

Answers

Answered by sandy1816
4

x =  \frac{1}{ \sqrt{3}  -  \sqrt{2} }  \\ x =  \frac{1}{ \sqrt{3}  -  \sqrt{2} }  \times  \frac{ \sqrt{3}  +  \sqrt{2} }{ \sqrt{3}  +  \sqrt{2} }  \\ x =   \frac{ \sqrt{3}  +  \sqrt{2} }{ 3 - 2 }  \\ x =  \sqrt{3}  +  \sqrt{2}  \\  \\  \frac{1}{x}  =  \frac{1}{ \sqrt{3}  +  \sqrt{2} }  \\  \frac{1}{x}  =  \frac{ \sqrt{3} -  \sqrt{2}  }{3 - 2}  \\  \frac{1}{x}  =  \sqrt{3}  -  \sqrt{2}  \\  \\ x +  \frac{1}{x}  = 2 \sqrt{3}  \\ ( {x +  \frac{1}{x} })^{2}  = 12 \\  {x}^{2}  +  \frac{1}{ {x}^{2} }   + 2= 12 \\  {x}^{2}  +  \frac{1}{ {x}^{2} }  = 10

Similar questions