5th 6 weeks Flashcard #4

Front

Solve the quadratic by factoring: 2x² - 5x - 12 = 0

Back

{-3/2, 4}

Front

Solve the quadratic by factoring: x² + 2x - 24 = 0

Back

{-6, 4}

Front

Solve by using the quadratic formula: 2x² + 7x - 15 = 0

Back

{-5, 1.5}

Front

Determine the values of a, b, and c for the quadratic equation: 4x² - 8x = 3

Back

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

Front

Solve the quadratic by factoring: x² - 14x + 45 = 0

Back

{5, 9}

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What are the coefficients in a quadratic equation of the form ax² + bx + c = 0?

Back

a = coefficient of x², b = coefficient of x, c = constant term.

Front

What does it mean for a quadratic equation to be factorable?

Back

It means the equation can be expressed as a product of two binomials.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac and determines the nature of the roots.

Front

If the discriminant is positive, what can be said about the roots of the quadratic equation?

Back

There are two distinct real roots.