\(4x^2+5x-9=0\)
\(\Leftrightarrow\left(x-1\right)\left(x+\dfrac{9}{4}\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=0\\x+\dfrac{9}{4}=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-\dfrac{9}{4}\end{matrix}\right.\)
4x2+5x-9=0
4x2-4x+9x-9=0
4x(x-1)+9(x-1)=0
(x-1)(4x+9)=0
x-1=0 => x=1
hoặc 4x+9=0 => x=-9/4