Answer:
s = - 1 ± [tex]\sqrt{7}[/tex]
Step-by-step explanation:
Given
s² + 2s - 6 = 0 ( add 6 to both sides )
s² + 2s = 6
To complete the square
add ( half the coefficient of the s- term )² to both sides
s² + 2(1)s + 1 = 6 + 1
(s + 1)² = 7 ( take the square root of both sides )
s + 1 = ± [tex]\sqrt{7}[/tex] ( subtract 1 from both sides )
s = - 1 ± [tex]\sqrt{7}[/tex]
Thus
s = - 1 - [tex]\sqrt{7}[/tex] , s = - 1 + [tex]\sqrt{7}[/tex]
