Quadratics ~ Completing the Square Method

Front

What is the method used to solve quadratic equations by rewriting them in a perfect square form?

Back

Completing the square.

Front

What is the first step in completing the square for the equation x^2 + bx + c = 0?

Back

Isolate the constant term (c) on one side of the equation.

Front

How do you find the value to complete the square for the term bx?

Back

Divide b by 2 and square the result.

Front

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

Back

(x + 3)^2 - 9.

Front

What do you add to both sides of the equation when completing the square?

Back

The square of half the coefficient of x.

Front

In the equation x^2 + 10x + 21 = 0, what is the first operation to perform?

Back

Subtract 21 from both sides.

Front

What is the completed square form of the equation x^2 + 6x = 5?

Back

(x + 3)^2 = 14.

Front

What is the purpose of completing the square in quadratic equations?

Back

To convert the quadratic equation into a form that is easier to solve.

Front

What does the term 'b' represent in the quadratic equation ax^2 + bx + c = 0?

Back

The coefficient of the linear term.

Front

What is the relationship between the roots of a quadratic equation and its vertex when using the completing the square method?

Back

The vertex form reveals the vertex of the parabola, which is the midpoint of the roots.