Solving Quadratics - Best Method

Front

What does it mean if b² - 4ac is negative in a quadratic equation?

Back

The quadratic equation has two imaginary solutions that are different.

Front

Solve using the best method: 5x² - 25x = 0

Back

x = 0, 5

Front

Solve using the best method: x² + 2x - 8 = 0

Back

x = -4, x = 2

Front

Solve using the best method: 6x² + 17x + 12 = 0

Back

x = -4/3, x = -3/2

Front

Which quadratic has a complex (part imaginary) solution? y = x² + 16, y = x² - 20x, y = x² - 3x - 10, y = -x²

Back

y = x² + 16

Front

What is the quadratic formula?

Back

Front

What is the vertex form of a quadratic equation?

Back

Front

What does the discriminant tell us about a quadratic equation?

Back

The discriminant (b² - 4ac) indicates the nature of the roots: positive for two real solutions, zero for one real solution, and negative for two imaginary solutions.

Front

How do you factor a quadratic equation?

Back

To factor a quadratic, find two numbers that multiply to ac and add to b, then rewrite the equation.

Front

What is the standard form of a quadratic equation?

Back