Answer:
The number would have to be added is 9
Step-by-step explanation:
To find the form of the completing square of the quadratic function:
- Divide the coefficient of x by 2
- Subtract the numerical term from the square of the quotient
Let us do these steps with our question
∵ x² + 10x + 16 = 0
→ Divide the coefficient of x by 2
∵ The coefficient of x is 10
∴ 10 ÷ 2 = 5
→ Square the 5
∵ (5)² = 25
→ Subtract the numerical term from 25
∵ The numerical term = 16
∵ 25 - 16 = 9
∴ We must add 9 to 16 to get 25
→ (x² + 10x + 16 + 9) - 9 = 0
→ (x² + 10x + 25) = 9
→ (x + 5)² = 9
The number would have to be added is 9
