If the two real number roots of the equation x2 + (M-3) x + M = 0 about X are unequal positive numbers, then the value range of real number m is______ .

If the two real number roots of the equation x2 + (M-3) x + M = 0 about X are unequal positive numbers, then the value range of real number m is______ .

If the roots of two real numbers of the equation x2 + (M-3) x + M = 0 are not equal positive numbers, that is, X1 > 0, X2 > 0, and x1 ≠ X2, then △ = (m − 3) & nbsp; 2 − 4m > 0x & nbsp; 1 + X & nbsp; 2 = 3 − m > 0x & nbsp; 1 · X & nbsp; 2 = m > 0, the solution is 0 < m < 1, so the value range of real number m is (0, 1), so the answer is: (0, 1)