Quadratic Formula and Discriminant Review

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

The discriminant is found using the formula b² - 4ac from the standard form y = ax² + bx + c.

Front

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

Back

It indicates that there are 2 distinct real solutions.

Front

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

Back

It indicates that there are 2 complex (imaginary) solutions.

Front

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

Back

It indicates that there is exactly 1 real solution (a repeated root).

Front

If the quadratic equation is 3x² - x + 3 = 5, what is the first step to find the discriminant?

Back

Set the equation to zero: 3x² - x - 2 = 0.

Front

What is the value of 'c' in the equation 3x² = 12?

Back

c = -12.

Front

If a function has a discriminant of 25, how many real solutions does it have?

Back

It has 2 real solutions.

Front

What is the discriminant of the equation 2x² + 4x + 2 = 0?

Back

The discriminant is 0, indicating 1 real solution.

Front

What is the formula for the discriminant?

Back

The formula is D = b² - 4ac.