MATH SOLVE

2 months ago

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

Accepted Solution

A:

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]