Question

Find Complete the Square Constant Mar 27, 6:22:29 AM If using the method of completing the square to solve the quadratic equation x^(2)-19x-24=0, which number would have to be added to "complete the s

Answer 1

To complete the square for the quadratic equation, add the square of half the coefficient of x (which is 90.25) to make a perfect square trinomial.

Step-by-step explanation:

To complete the square for the quadratic equation x² - 19x - 24 = 0, you need to determine the constant that, when added to x² - 19x, makes it a perfect square trinomial.

The process involves taking half of the coefficient of x, which is -19, dividing it by 2 to get -9.5, and then squaring it. (-9.5)² equals 90.25. Therefore, the constant you need to add to both sides of the equation to complete the square is 90.25.