Question

4x^2 + 5x = -1what are the solutions?

Answer 1

$\begin{gathered} 4x^2+5x=-1 \\ 4x^2+5x+\frac{25}{16}=-1+\frac{25}{16}=\frac{9}{16} \\ (2x+\frac{5}{4})^2=\frac{9}{16}\rightarrow2x+\frac{5}{4}=\frac{3}{4}\rightarrow2x=-\frac{2}{4}=-\frac{1}{2}\rightarrow x=-\frac{1}{4} \end{gathered}$