Solving Quadratics - Choosing a Method

Front

What are the values of a, b, and c in the quadratic equation 4x² - 8x = 3?

Back

a = 4, b = -8, c = -3

Front

What method works 100% of the time for solving quadratics?

Back

Quadratic Formula

Front

When should you decide to Complete the Square?

Back

When a = 1 and the b value is even.

Front

Choose the best method to solve the quadratic x² - 7x + 12 = 0.

Back

Factoring.

Front

Which method is MOST EFFICIENT to solve 5x² - 3x - 7 = 0?

Back

Quadratic Formula.

Front

What is the Quadratic Formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What does the term 'discriminant' refer to in a quadratic equation?

Back

The discriminant is the value of b² - 4ac, which determines the nature of the roots.

Front

What does it mean if the discriminant is positive?

Back

The quadratic equation has two distinct real roots.

Front

What does it mean if the discriminant is zero?

Back

The quadratic equation has exactly one real root (a repeated root).

Front

What does it mean if the discriminant is negative?

Back

The quadratic equation has no real roots (the roots are complex).