Discriminant

Front

What does the discriminant tell us?

Back

The number and type of solutions.

Front

Determine the values of a, b, and c for the quadratic equation: 4x² – 8x = 3

Back

a = 4, b = -8, c = -3.

Front

What is the formula for the discriminant?

Back

b² - 4ac.

Front

If the discriminant is zero, how many real solutions will there be?

Back

1 real solution.

Front

Find the discriminant of the equation: 3x² - x - 2 = 0

Back

25.

Front

What does a positive discriminant indicate?

Back

Two distinct real solutions.

Front

What does a negative discriminant indicate?

Back

No real solutions, two imaginary solutions.

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0.

Front

What is the vertex form of a quadratic equation?

Back

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

Front

How do you find the axis of symmetry for a quadratic equation?

Back

x = -b/(2a).