Senior one mathematics [function & equation] Given that the two equations x ^ 2 + BX + 1 = 0 are α, β (α ≠ β), then the two equations x ^ 2 + (b-2) X-B are_________ .

Senior one mathematics [function & equation] Given that the two equations x ^ 2 + BX + 1 = 0 are α, β (α ≠ β), then the two equations x ^ 2 + (b-2) X-B are_________ .

After being reminded, I think the first equation should be X & # 178; + BX-1 = 0
According to the meaning of the title, from the Weida theorem, we can get the conclusion
α+β=-b
αβ=-1
Let two of the new equations X & # 178; + (b-2) X-B = 0 be m and N, which can be easily obtained from the Veda theorem
m+n=2-b=(1+α)+(1+β)
mn
=-b
=α+β
=1-1+α+β
=1+αβ+α+β
=(1+α)(1+β)
So m = 1 + α, n = 1 + β
That is, the two new equations are: 1 + α and 1 + β