Answer:
Step-by-step explanation:
Part A
w² + 6w + c = 130 + c
w² + 2(3w) + c = 130 + c
To make left side of the equation a perfect square we will replace c by (3)².
w² + 2(3w) + 3² = 130 + c
[By formula → a² + 2ab + b² = (a + b)²]
w² + 2(3w) + 9 = 130 + 9
Therefore, c = 9 will be the answer.
Part B
From part A,
(w + 3)² = 139
Option (2) and Option (6) are the correct options.
Part C
w + 3 = √139
w = 11.79 - 3
w = 8.79
w ≈ 8.8 inches