Solve the equation x^2 + 5x = -1 by completing the square.

Answer:The answer to your question is: the third optionStep-by-step explanation:               x² + 5x = - 1               x² + 5x + [tex](\frac{5}{2}) ^{2}[/tex] = -1  + [tex](\frac{5}{2} )^{2}[/tex]              (x + [tex]\frac{5}{2}[/tex])² =   - 1 + 25/4             (x + [tex]\frac{5}{2}[/tex])²  =  (-4 + 25) / 4             (x + [tex]\frac{5}{2}[/tex])² = 21/4             (x + [tex]\frac{5}{2}[/tex]) = ± [tex]\sqrt{\frac{21}{4} }[/tex]             x = [tex]\frac{5}{2} ±   \frac{\sqrt{21}}{2}[/tex]             x = [tex]\frac{-5 ± \sqrt{21} }{2}[/tex]