solve it on a paper
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I think this will be help ful
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(x+1/x+2)²=x+2/x+4
x²+2x+1/x²+4x+4=x+2/x+4
x³+4x²+4x+2x²+8x+8=x³+2x²+x+4x²+8x+4
⇒x³+4x²+4x+2x²+8x+8-x³-2x²-x-4x²-8x-4=0
⇒3x+4=0
⇒3x=-4
x=-4/3
x²+2x+1/x²+4x+4=x+2/x+4
x³+4x²+4x+2x²+8x+8=x³+2x²+x+4x²+8x+4
⇒x³+4x²+4x+2x²+8x+8-x³-2x²-x-4x²-8x-4=0
⇒3x+4=0
⇒3x=-4
x=-4/3
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