Complete the square

Front

What is the process of completing the square?

Back

Completing the square is a method used to convert a quadratic equation in the form ax² + bx + c into a perfect square trinomial, allowing for easier solving and graphing.

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, typically in the form (x + a)² or (x - a)².

Front

How do you find the value to complete the square for x² - 14x + ____?

Back

+ 49

Front

What value of c makes x² + 20x + c a perfect square trinomial?

Back

+ 100

Front

What value of c makes x² + 18x + c a perfect square trinomial?

Back

+ 81

Front

How do you complete the square for x² + 12x + ____?

Back

+ 36

Front

What is the formula to find the value to complete the square?

Back

The value to complete the square can be found using (b/2)², where b is the coefficient of x in the quadratic expression.

Front

Complete the square for x² - 16x + ____?

Back

+ 64

Front

What is the significance of completing the square in solving quadratic equations?

Back

Completing the square allows for the derivation of the quadratic formula and helps in finding the vertex of a parabola.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.