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IF [x^(2) - 2x + a]=0 has no solution, t...

IF `[x^(2) - 2x + a]=0` has no solution, then find the values of a (where `[*] ` represents the greatest integer).

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To solve the problem, we need to analyze the quadratic equation given by the greatest integer function: \[ [x^2 - 2x + a] = 0 \] This means that the expression \(x^2 - 2x + a\) must be in the range where the greatest integer function equals zero. Therefore, we need to find when: ...
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