DOL - Complex Number, Quadratic, and Parabola

Front

What does i^2 equal?

Back

-1

Front

What is the result of (3 + 2i) + (4 - 5i)?

Back

7 - 3i

Front

What is the Vertex of a parabola?

Back

The point where the parabola changes direction, represented as (h, k) in the vertex form of a quadratic equation.

Front

Use the quadratic formula to find the solutions for y = -x^2 - 5x + 12.

Back

The solutions are x = 2 and x = -6.

Front

Solve the equation 2x^2 - 36 = x.

Back

x = \frac{9}{2} and -4.

Front

What is a complex number?

Back

A number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is given by b^2 - 4ac and determines the nature of the roots.

Front

What does a positive discriminant indicate?

Back

It indicates that the quadratic equation has two distinct real roots.

Front

What does a negative discriminant indicate?

Back

It indicates that the quadratic equation has no real solutions.