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Balance number of mathematics problems in grade three.
The equilibrium equation with (1) coefficient about-1 has two unequal real roots; The reason for this is the following:

In the equation about x, x? +ax+b = 0, where a+b =-2.

∴b=﹣a-2=﹣﹙a+2﹚

δ= a? -4× 1 b=a? +4﹙a+2﹚=a? +4a+8=﹙a+2﹚? +4>0

∴x? +ax+b = 0 (where a+b = 2 (there are two unequal real roots);

⑵∫x? +mx-m? +m-3 = 0 is an equilibrium equation with a coefficient of about-1.

∴m-m? +m-3 =-2, which means m? -2m+ 1=0

The solution is m = 1.

When m = 1, the original equation is x? +x-3=0

x? +x+ 1/4= 13/4

x+ 1/2= √ 13/2

X =- 1 √ 13-/2, namely

X = ﹙ 1+√ 13 ﹚/2 or ﹙1-√/0/3 ﹚/2.