Answer:
Explanation:
To rewrite the equation x² + 18x + 7 = 4 in the form (x - p)² = q, we need to complete the square by adding and subtracting a constant term.
First, we subtract 4 from both sides of the equation:
x² + 18x + 7 - 4 = 0
Simplifying, we get:
x² + 18x + 3 = 0
To complete the square, we need to add and subtract the square of half the coefficient of x, which is (18/2)^2 = 81:
x² + 18x + 81 - 81 + 3 = 0
Simplifying, we get:
(x + 9)² - 78 = 0
Now, we can rewrite the equation in the desired form by adding 78 to both sides:
(x + 9)² = 78
Therefore, the values to be entered in the boxes are:
1: (x + 9)
2: 78