Question

Solve the quadratic equation by completing the square. BE SURE TO SHOW ALL WORK! Type your work here using the equation (pi) button in the toolbar or upload a picture of your work.

x^2 - 8x = 9

Answer 1

To solve the quadratic equation x^2 - 8x = 9 by completing the square, follow these steps. The solutions are x = 9 or x = -1.

Step-by-step explanation:

To solve the quadratic equation x^2 - 8x = 9 by completing the square, follow these steps:

1. Move the constant term to the right side of the equation: x^2 - 8x - 9 = 0.
2. Add the square of half the coefficient of x to both sides of the equation to complete the square: x^2 - 8x + 16 = 9 + 16.
3. Simplify: (x - 4)^2 = 25.
4. Take the square root of both sides: x - 4 = ±√25.
5. Solve for x: x - 4 = ±5.
6. Two possible solutions: x = 4 + 5 or x = 4 - 5.

So the solutions to the quadratic equation are x = 9 or x = -1.