Algebra 2 - 4.3 Additional Practice

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 is the quadratic formula used to solve quadratic equations?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

Can the quadratic formula be used to solve quadratic equations that cannot be factored?

Back

True

Front

Solve the quadratic equation x² - 6x + 9 = 0 using the quadratic formula.

Back

{ 3 }

Front

What is the discriminant of the quadratic equation x² + 7x + 13 = 0?

Back

-3

Front

How many real solutions does the equation x² + 7x + 13 = 0 have?

Back

0 real solutions

Front

What does a positive discriminant indicate about the solutions of a quadratic equation?

Back

2 distinct real solutions.

Front

What does a zero discriminant indicate about the solutions of a quadratic equation?

Back

1 real solution (a repeated root).

Front

What does a negative discriminant indicate about the solutions of a quadratic equation?

Back

No real solutions (complex solutions exist).

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k, where (h, k) is the vertex.