Tìm x, biết: 4x^2 - 25 - (2x - 5)(2x + 7) = 0

Tìm x, biết: 4x2 – 25 – (2x – 5)(2x + 7) = 0.

Trả lời

4x2 – 25 – (2x – 5)(2x + 7) = 0

\( \Leftrightarrow \)[(2x)2 – 52] – (2x – 5)(2x + 7) = 0

\( \Leftrightarrow \)(2x – 5)(2x + 5) – (2x – 5)(2x + 7) = 0

\( \Leftrightarrow \)(2x – 5)(2x + 5 – 2x – 7) = 0

\( \Leftrightarrow \)(2x – 5)(−2) = 0

\( \Leftrightarrow \)2x – 5 = 0

\( \Leftrightarrow x = \frac{5}{2}\).

Vậy \(x = \frac{5}{2}\).

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