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.