The proposition "inequality m ^ 2 - M < x ^ 2 + X + 1 holds" is true. The range of real number m is obtained Methods only know that the right side of the inequality is always greater than 0 (x + 1 / 2) ^ 2 + 3 / 4 is greater than 0, and then it won't work. What should I do?

The proposition "inequality m ^ 2 - M < x ^ 2 + X + 1 holds" is true. The range of real number m is obtained Methods only know that the right side of the inequality is always greater than 0 (x + 1 / 2) ^ 2 + 3 / 4 is greater than 0, and then it won't work. What should I do?


So m ^ 2 - M