Algebra 1 - The Discriminant

Front

What does the discriminant tell us?

Back

The number and type of solutions.

Front

For the function y = x² + 4x + 4, is the discriminant positive, negative, or zero?

Back

Zero.

Front

Determine the value of the discriminant and describe the number and type of roots for y = x² + 7x + 13.

Back

-3, 0 real roots (2 imaginary roots).

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 positive, what can we conclude about the roots of the quadratic equation?

Back

There are 2 distinct real roots.

Front

If the discriminant is zero, what can we conclude about the roots of the quadratic equation?

Back

There is 1 real root (a repeated root).

Front

If the discriminant is negative, what can we conclude about the roots of the quadratic equation?

Back

There are 2 complex (imaginary) roots.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c.

Front

How do you find the discriminant of a quadratic equation?

Back

Calculate using the formula D = b² - 4ac.