Question

X² + 6x - 25 = 0. How can I complete the square?

Answer 1

To complete the square for the given equation, move the constant term, add the square term, factor, square root, and solve for x.

Step-by-step explanation:

To complete the square for the quadratic equation x² + 6x - 25 = 0, we can follow these steps:

1. Move the constant term (-25) to the other side of the equation.
2. Take half of the coefficient of x (which is 6) and square it. This gives us 9.
3. Add this square term (9) to both sides of the equation.
4. Factor the perfect square trinomial on the left side of the equation.
5. Square root both sides of the equation.
6. Solve for x.

After following these steps, you will find the solutions for x are -9 and 3.