Quadratic Formula Practice

Front

Solve: x² - 8x + 12 = 0

Back

x = 2, x = 6

Tags

CCSS.HSA-REI.B.4B

Front

Solve: 7x² - 28x = 0

Back

x = 0, x = 4

Tags

CCSS.HSA-REI.B.4B

Front

Solve: x² + 15x + 44 = 0

Back

x = -11, x = -4

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: x² - 9x + 20 = 0

Back

x = 4 and x = 5

Tags

CCSS.HSA-REI.B.4B

Front

Solve: a² - 9a + 8 = 0

Back

x = 1, x = 8

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 discriminant tell us?

Back

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

Tags

CCSS.HSA-REI.B.4B

Front

If the discriminant is positive, what can we conclude?

Back

There are two distinct real roots.

Tags

CCSS.HSA-REI.B.4B

Front

If the discriminant is zero, what can we conclude?

Back

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

Tags

CCSS.HSA-REI.B.4B

Front

If the discriminant is negative, what can we conclude?

Back

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

Tags

CCSS.HSA-REI.B.4B