Quadratic Formula Practice

Front

Solve: x² - 8x + 12 = 0

Back

x = 2, x = 6

Front

Solve: 7x² - 28x = 0

Back

x = 0, x = 4

Front

Solve: x² + 15x + 44 = 0

Back

x = -11, x = -4

Front

Solve by factoring: x² - 9x + 20 = 0

Back

x = 4 and x = 5

Front

Solve: a² - 9a + 8 = 0

Back

x = 1, x = 8

Front

What is the Quadratic Formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What does the discriminant tell us?

Back

The discriminant (b² - 4ac) determines the nature of the roots of a quadratic equation.

Front

If the discriminant is positive, what can we conclude?

Back

There are two distinct real roots.

Front

If the discriminant is zero, what can we conclude?

Back

There is exactly one real root (a repeated root).

Front

If the discriminant is negative, what can we conclude?

Back

There are no real roots (the roots are complex).