Question

Completing the square when a is greater than 1.

A) Factoring
B) Quadratic Formula
C) Vertex Form
D) Linear Equation

Answer 1

Completing the square is the method used to solve the equation when a is greater than 1.

Step-by-step explanation:

The method used to solve the equation when a is greater than 1 is called completing the square. This method involves manipulating the equation to create a perfect square trinomial.

1. Start with the quadratic equation in the form ax² + bx + c = 0.
2. Divide the entire equation by a to make the coefficient of x² equal to 1.
3. Take half of the coefficient of x and square it. Add this value to both sides of the equation.
4. Factor the trinomial on the left side of the equation as a perfect square.
5. Take the square root of both sides to solve for x.

The resulting equation in vertex form is y = a(x - h)² + k, where (h, k) represents the coordinates of the vertex.