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Môn Toán Diễm Kiều 4 years 2021-04-29T10:54:32+00:00 2021-04-29T10:54:32+00:00 1 Answers 16 views 0

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Captcha* Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )

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huyenthanh · Answer 1 · 2021-04-29T10:55:56+00:00

huyenthanh

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2021-04-29T10:55:56+00:00 April 29, 2021 at 10:55 am

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Đáp án:

$0 < m < \frac{99}{20}$

Giải thích các bước giải:

Để phương trình có nghiệm

$\begin{array}{l} \to m^{2} - 4 (m - 4) \geq 0 \\ \to m^{2} - 4 m + 16 \geq 0 \\ \to {(m - 2)}^{2} + 12 \geq 0 (l d) \forall m \\ C ó : (5 x_{1} - 1) (5 x_{2} - 1) < 0 \\ \to 25 x_{1} x_{2} - 5 (x_{1} + x_{2}) + 1 < 0 \\ \to 25 (m - 4) - 5 m + 1 < 0 \\ \to 25 m - 100 - 5 m + 1 < 0 \\ \to 20 m < 99 \\ \to m < \frac{99}{20} \\ K L : 0 < m < \frac{99}{20} \end{array}$

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