Question

Complete o quadrado: x^2 + 5x - 9 = 0

Answer 1

x² + 5x - 9 = 0

x² + 5x = 9

x² + 5x + m² = m² + 9

2xm = 5x

$m = \frac{5x}{2x} ==\ \textgreater \ m= \frac{5}{2}$

$x^{2} +5x+ (\frac{5}{2})^{2} = ( \frac{5}{2} )^{2}+9$

$(x+ \frac{5}{2} )^{2} = \frac{25}{4} +9$