please solve this question .It will be a great help❤️
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Answer:
x=1/8 or x=8
x+1/x=65/8
x^2+1/x=65/8
8x^2+8=65x
8x^2-65x+8=0
8x^2-64x-x+8=0
8x(x-8)-1(x-8)=0
(8x-1)(x-8)=0
8x-1=0 ; x-8=0
x=1/8 ; x=8
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