Quadratics ~ Completing the Square Method

Front

What is the first step in completing the square for a quadratic equation?

Back

Rearrange the equation to isolate the constant term on one side.

Front

How do you find the value to complete the square for the term 'b' in the equation ax^2 + bx + c?

Back

Divide 'b' by 2 and square the result.

Front

What is the completed square form of the quadratic equation x^2 + 6x?

Back

(x + 3)^2 - 9.

Front

What is the purpose of completing the square in a quadratic equation?

Back

To convert the quadratic into a perfect square trinomial, making it easier to solve.

Front

What is the completed square form of the equation x^2 + 4x + 1?

Back

(x + 2)^2 - 3.

Front

How do you solve the equation x^2 + 6x - 4 = 36 by completing the square?

Back

1. Rearrange to x^2 + 6x - 40 = 0. 2. Complete the square: (x + 3)^2 = 49. 3. Solve for x: x = 4, -10.

Front

What is the value added to both sides when completing the square for the equation x^2 + 6x?

Back

9, which is (6/2)^2.

Front

What does the term 'perfect square trinomial' refer to?

Back

A quadratic expression that can be factored into the square of a binomial.

Front

What is the general form of a quadratic equation?

Back

ax^2 + bx + c = 0.

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)^2 + k, where (h, k) is the vertex.