Idioms of 1 × 1 = 1, idioms of 1000-0, idioms of 1 ／ 2

Idioms of 1 × 1 = 1, idioms of 1000-0, idioms of 1 ／ 2

1 × 1 = 1: 10% (multiply) unchanged
1000-0: full of holes
1 △ 2: one divides into two

(B-A) Λ 2 - (B-A) Λ 3 (factorization)

（b-a）∧2-（b-a）∧3
=（b-a)^2[1-(b-a)]
=(b-a)^2(1-b+a)

Factorization - (a-b) ^ 2 - (B-A) ^ 3
fast

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-(a-b)^2-(b-a)^3
= -(b-a)^2-(b-a)^3
=-(b-a)^2(1+b-a)
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The quadratic equation MX ^ 2 - (m-1) + 2m-1 = 0 has rational roots when m is not a 0 integer

Δ=(m-1)²-4m(2m-1)=-7m²+2m+1≥0,m∈Z
-1

The range in which one root of quadratic equation (M + 2) x ^ 2-2 (M + 2) x + 3 (M + 1) is greater than 1 and the other root is less than 1 m

When m + 2 > 0, f (1)

For quadratic equation x2 + (A2 + 1) x + A-2 = 0, if one root is larger than 1 and the other root is smaller than - 1, then the value range of a is ()
A. -3＜a＜1B. -2＜a＜0C. -1＜a＜0D. 0＜a＜2

Let f (x) = x2 + (A2 + 1) x + A-2, then f (1) ＜ 0 and f (- 1) ＜ 0, that is, A2 + a ＜ 0, A2 − a + 2 ＞ 0, ■ - 1 ＜ a ＜ 0