Answer:
w = - 16.06 or w = 2.06
Step-by-step explanation:
Given
w² + 14w - 33 = 0 ( add 33 to both sides )
w² + 14w = 33
To complete the square
add ( half the coefficient of the w- term )² to both sides
w² + 2(7)w + 49 = 33 + 49, that is
(w + 7)² = 82 ( take the square root of both sides )
w + 7 = ± [tex]\sqrt{82}[/tex] ( subtract 7 from both sides )
w = - 7 ± [tex]\sqrt{82}[/tex], that is
w = - 7 - [tex]\sqrt{82}[/tex] ≈ - 16.06 or w = - 7 + [tex]\sqrt{82}[/tex] ≈ 2.06
