Quadratic Formula and Discriminant ***

Front

What does the discriminant tell us?

Back

The number and type of solutions.

Front

If the discriminant is positive, what can we conclude about the solutions?

Back

There are two real solutions.

Front

If the discriminant is zero, what does that indicate about the solutions?

Back

There is one real solution (a repeated root).

Front

If the discriminant is negative, what does that imply about the solutions?

Back

There are two complex solutions.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a).

Front

In the quadratic equation ax² + bx + c = 0, what do a, b, and c represent?

Back

a is the coefficient of x², b is the coefficient of x, and c is the constant term.

Front

How do you determine the values of a, b, and c from the equation 4x² - 8x = 3?

Back

Rearrange to standard form: 4x² - 8x - 3 = 0, so a = 4, b = -8, c = -3.

Front

What is the sum of the complex numbers (5-2i) and (-7+8i)?

Back

The sum is -2 + 6i.

Front

What does i² equal?

Back

i² equals -1.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.