\(D=5x^2+2x-3\)
\(=5\left(x^2+\dfrac{2}{5}x+\dfrac{1}{25}\right)-\dfrac{16}{5}\)
\(=5\left(x+\dfrac{1}{5}\right)^2-\dfrac{16}{5}\)
Ta có : \(5\left(x+\dfrac{1}{5}\right)^2\ge0\Rightarrow5\left(x+\dfrac{1}{5}\right)^2-\dfrac{16}{5}\ge-\dfrac{16}{5}\)
Dấu = xảy ra \(\Leftrightarrow x=-\dfrac{1}{5}\)
Vậy \(Min_D=-\dfrac{16}{5}\Leftrightarrow x=-\dfrac{1}{5}\)
Thấy hơi loạn...Câu này xứng tầm lên câu hỏi hay?