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If the equation 25 - | x + 1 | - 4 × 5 - | x + 1 | = m has real roots, then the value range of real number m is () A. m＜0B. m≥-4C. -4≤m＜0D. -3≤m＜0
Let t = 5 - | x + 1 |, then the equation 25 - | x + 1 | - 4 × 5 - | x + 1 | = m about X has real roots, that is, the equation t2-4t = m about t has real roots, and because 0 ＜ t ≤ 1, and M = t2-4t = (T-2) 2-4, the range of M is [- 3, 0]
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