Question

Solve the equation by completing the square.

x^2 - 12x +35=0
After completing the square, the equation will be what?

Answer 1

To solve the equation x^2 - 12x + 35 = 0 by completing the square, rewrite it in the form (x - a)^2 = b.

Step-by-step explanation:

To solve the equation by completing the square, we need to rewrite it in the form (x - a)^2 = b. Here's how:

1. Move the constant term to the other side of the equation: x^2 - 12x = -35.
2. Take half of the coefficient of x (-12/2 = -6) and square it to get the term to complete the square: (-6)^2 = 36.
3. Add this term to both sides of the equation: x^2 - 12x + 36 = -35 + 36, which simplifies to (x - 6)^2 = 1.

Therefore, the equation after completing the square is (x - 6)^2 = 1.