Question

What is the complete square form of the quadratic equation x^2 - 6x + 9 = 25?

A) (x - 3)^2 = 25
B) (x - 9)^2 = 1
C) (x + 3)^2 = 16
D) (x - 4)^2 = 15

Answer 1

To find the complete square form of the quadratic equation x^2 - 6x + 9 = 25, you need to isolate the left side of the equation and complete the square.

Step-by-step explanation:

To find the complete square form of the quadratic equation x^2 - 6x + 9 = 25, you need to isolate the left side of the equation and complete the square.

1. Start by subtracting 25 from both sides of the equation: x^2 - 6x + 9 - 25 = 0
2. Combine like terms: x^2 - 6x - 16 = 0
3. Take half of the coefficient of x (-6 in this case) and square it: (-6/2)^2 = 9
4. Add the squared value to both sides of the equation: x^2 - 6x + 9 - 16 + 9 = 18
5. Simplify: x^2 - 6x + 2 = 0
6. The complete square form of the equation is: (x - 3)^2 = 25