It is known that the equation x / x-3 = 2-m / 3-x about X has an integer solution to find the value range of M Don't just browse

It is known that the equation x / x-3 = 2-m / 3-x about X has an integer solution to find the value range of M Don't just browse

x/x-3=2-m/3-x;
x/(x-3)=(m-2)/(x-3);
∴x=m-2;
∵ has an integer solution
∴m-2≠3;
∴m≠5;
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It is known that the solution of the equation x-3 of x minus 2 = x-3 of M is a positive number, and the value range of M is obtained

(X-2) / (x-3) = m / (x-3) (X-2) (x-3) = m (x-3) x ^ 2-5x + 6-mx + 3M = 0x ^ 2 - (5 + m) x + 6 + 3M = 0 △ = (5 + m) ^ 2-4 (6 + 3M) = (m-1) ^ 2 ≥ 0. When m = 1, the equation has one solution x = 3. When m ≠ 1, the equation has two solutions. X1 + x2 = 5 + m > 0x1 * x2 = 6 + 3M > 0m > - 2

It is known that the solution of the equation 1 / 3 * (x + m) - 1 / 2 * (2x-1) = m about X is a non positive number, and the value range of M is obtained

(x+m)/3-(2x-1)/2=m;
2x+2m-6x+3=6m;
4x=3-4m;
x=(3-4m)/4;
∴(3-4m)/4≤0;
∴m≥3/4;
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