It is known that the equation (m-2) ^ 2x ^ 2 + (2m + 1) x + 1 = 0 about X has two real roots, so we can find the value range of M

Because there are two real roots
So (M - 2) &# 178; ≠ 0 and △ ≥ 0
(m - 2)²≠ 0
m ≠ 2
△ ≥ 0
(2m + 1)² - 4(m - 2)² ≥ 0
m ≥ 3/4
In conclusion: m ∈ [3 / 4, 2) ∪ (2, + ∞)

RELATED INFORMATIONS

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