Answer:
x = - 1 ± [tex]\sqrt{7}[/tex]
Step-by-step explanation:
let y = 0
x² + 2x - 6 = 0 ( add 6 to both sides )
x² + 2x = 6
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = 6 + 1
(x + 1)² = 7 ( take the square root of both sides )
x + 1 = ± [tex]\sqrt{7}[/tex] ( subtract 1 from both sides )
x = - 1 ± [tex]\sqrt{7}[/tex] , that is
x = - 1 + [tex]\sqrt{7}[/tex] , x = - 1 - [tex]\sqrt{7}[/tex]
