Algebra 2 Chapter 9 Review

Front

Solve by taking square roots: -3b² - 4 = 26

Back

±i√10

Front

How many solutions does a quadratic equation have at most?

Back

2

Front

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

Back

2 imaginary solutions

Front

What is the discriminant of the equation 4x² + 3 = 4x?

Back

Negative

Front

What type of solutions does a quadratic equation with a positive discriminant have?

Back

2 real rational solutions

Front

What is the formula for the discriminant of a quadratic equation ax² + bx + c?

Back

D = b² - 4ac

Front

If the discriminant is zero, how many solutions does the quadratic equation have?

Back

1 real solution

Front

What is the significance of the discriminant in determining the nature of the roots?

Back

It indicates whether the roots are real or imaginary and how many solutions exist.

Front

Solve for x: x² - 5x + 6 = 0

Back

x = 2, 3

Front

What is the vertex form of a quadratic equation?

Back

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