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A concrete analysis of Mianyang mathematics fill-in-the-blank problem in the 20 10 senior high school entrance examination 18
It is known that the square of m plus 1 is equal to 10 times m under the root sign, and both sides of the equation are divided by m, and the reciprocal of m plus m is equal to 10 under the root sign. The left and right sides of the formula are shifted in squares at the same time, and the square of m plus the reciprocal of the square of m equals 8, so the fourth power of m plus the reciprocal of m equals 62.