Unit 7 Review: Solving Quadratic Equations

Front

What is a quadratic equation?

Back

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, allowing for easier solving of the equation.

Front

What are the steps to solve a quadratic equation by completing the square?

Back

Front

Identify the values of a, b, and c in the quadratic equation: -8x^2 + x + 7 = 0.

Back

a = -8, b = 1, c = 7.

Front

What is the quadratic formula?

Back

Front

Back

Front

What is the discriminant in a quadratic equation?

Back

Front

What does a positive discriminant indicate?

Back

A positive discriminant indicates that the quadratic equation has two distinct real roots.

Front

What does a zero discriminant indicate?

Back

A zero discriminant indicates that the quadratic equation has exactly one real root (a repeated root).

Front

What does a negative discriminant indicate?

Back

A negative discriminant indicates that the quadratic equation has no real roots, but two complex roots.