Math, asked by gangasingh1331, 1 month ago

tell answer fast. I will mark you as brainlist​

Attachments:

Answers

Answered by suhail2070
1

Step-by-step explanation:

x = 11 -  \sqrt{5}  \\  \\  \frac{1}{x}  =  \frac{1}{11 -  \sqrt{5} }  =  \frac{11 +  \sqrt{5} }{121 - 5}  \\  \\  =  \frac{11 +  \sqrt{5} }{116}  \\  \\ x +  \frac{1}{x}  = 11 -  \sqrt{5}  +  \frac{11 +  \sqrt{5} }{116}  \\  \\ x +  \frac{1}{x}  = \frac{ 116 \times 11 - 116 \sqrt{5}  + 11 +  \sqrt{5} }{116}  \\  \\  = \frac{ 117  \times 11 - 115 \sqrt{5} }{116}  \\   \\  =  \frac{1287 - 115 \sqrt{5} }{116} .

Similar questions