Answer:
(x+3)² = 24 is the complete square.
Explanation:
We have given equation
x² + 6x = 15
We have to complete the square.
For this we split the second term of equation.
x²+(2)(3)(x) = 15
We have to add the square of 3 on both sides of equation.
So, the equation becomes:
x²+(2)(3)x+3²= 15 + 3²
(x+3)² = 15 + 9
(x+3)² = 24
This is the complete square of given expression.