Math, asked by atchaya2141, 1 month ago

if x=3+root 5, then find x+1/x

Answers

Answered by ganesh1314
29

x = 3 \sqrt{5}  \\ x+1/x  \\ 3 \sqrt{5} + 1/3 \sqrt{5} \:  \\  \frac{3 \sqrt{5} \times 3 \sqrt{5}}{3 \sqrt{5}} +  \frac{1}{3 \sqrt{5}}  \\  =  \frac{9 \times 5 + 1}{3 \sqrt{5} }  \\  =  \frac{45 + 1}{3 \sqrt{5} }  \\  =  \frac{46}{3 \sqrt{5} }

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