Complete the Square

Front

What does it mean to 'complete the square'?

Back

Completing the square is a method used to convert a quadratic equation into a perfect square trinomial, making it easier to solve.

Front

What is the formula for completing the square for the equation ax^2 + bx + c?

Back

The formula is: (x + b/2a)^2 - (b^2 - 4ac)/4a.

Front

When do you use the plus or minus symbol (±) in solving equations?

Back

You use the ± symbol after taking the square root of both sides of an equation.

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression that can be factored into the square of a binomial, such as (x + a)^2.

Front

How do you find the value to complete the square for x^2 + bx?

Back

Take half of b, square it, and add it to both sides of the equation.

Front

What is the first step in completing the square for the equation x^2 + 6x = 5?

Back

Subtract 5 from both sides to set the equation to zero.

Front

What is the missing value 'c' in the perfect square trinomial x^2 + 26x + c?

Back

The missing value 'c' is 169.

Front

Is x^2 + 18x + 9 a perfect square trinomial?

Back

No, it is not a perfect square trinomial.

Front

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

Back

(x + 3)^2 = 14.

Front

What is the significance of the term 'b' in the quadratic equation ax^2 + bx + c?

Back

The term 'b' represents the coefficient of the linear term and is used to find the vertex of the parabola.