Complex Numbers and Quadratic Formula

Front

What does i² equal?

Back

-1

Front

Simplify: (3 + 2i) + (4i + 6)

Back

9 + 6i

Front

Simplify: (4 + 7i) - (3 + 2i)

Back

1 + 5i

Front

Simplify: -3i(4 + 2i)

Back

6 - 12i

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 definition of a complex number?

Back

A complex number is 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 imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

What does the discriminant (b² - 4ac) tell us about a quadratic equation?

Back

The discriminant determines the nature of the roots: if it's positive, there are two distinct real roots; if zero, one real root; if negative, two complex roots.