how to solve this and show steps of solving.

Dear Studen,

x = 1+21x = 11+2Rationalizing the denominator, 1x = 11+2×1-21-2[Using a2-b2=a-ba+b]1x = 1-212-221x = 1-21-21x = 2-1Now, x+1x = 1+2+2-1x+1x = 22Squaring both sides, we getx+1x2 = 222[Using a+b2=a2+b2+2ab]x2+1x2+2 = 8x2+1x2 = 6

Regards

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