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7. The sum of a natural number and its reciprocal is 65.. Find them658 |
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Answer» Let number is x x+1/x=65/8 x²+1=65x/8 8x²+8=65x 8x²-65x+8=0 8x²-64x-x+8=0 8x(x-8)-1(x-8)=0 (x-8)(8x-1)=0 x=8,1/8 So number is 8 |
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