Question

completando trinomio cuadrado perfecto de x2+5x+6=0

Answer 1

x²+5x+6 = 0

x² + 5x = -6

x² + 5x + (5/2)² = (5/2)² - 6

(x+2,5)² = 2,5 - 6

(x+2,5)² + 3,5 = 0

Answer 2

x^2+5x+25/4=25/4-6
x
(x+5/2)^2=25/4-24/4=1/4
se extrae raiz y queda;
x1=-5/2+1/2=-2
x2=-5/2-1/2=-3