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

Tags

CCSS.HSA-REI.B.4B

Front

When should you decide to Complete the Square?

Back

When a = 1 and the b value is even.

Tags

CCSS.HSA-REI.B.4B

Front

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

Back

Factoring.

Tags

CCSS.HSA-REI.B.4B

Front

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

Back

Quadratic Formula.

Tags

CCSS.HSA-REI.B.4B

Front

What is the Quadratic Formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean if the discriminant is positive?

Back

The quadratic equation has two distinct real roots.

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean if the discriminant is zero?

Back

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

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean if the discriminant is negative?

Back

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

Tags

CCSS.HSA-REI.B.4B