Answer:
If you were to complete the square here and then factor, it would look like this: (x + 12)^2 = 177
Step-by-step explanation:
In order to complete the square, you have to take the coefficient of x (24) and cut it in half (12). Then you have to take that number and square it (144). Once you have this, you add it to both sides of the equation.
x^2 + 24x = 33
x^2 + 24x + 144 = 33 + 144
x^2 + 24x + 144 = 177
(x + 12)^2 = 177
The equation is (x + 12)² = 177, which results from completing the square and then factoring the equation x² +24x=33.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
In order to complete the square, you have to take the coefficient of x (24) and cut it in half (12). Then you have to take that number and square it (144). Once you have this, you add it to both sides of the equation.
x² + 24x = 33
x² + 24x + 144 = 33 + 144
x² + 24x + 144 = 177
(x + 12)²= 177
Therefore, the equation is (x + 12)² = 177, which results from completing the square and then factoring the equation x² +24x=33.
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