Quadratic Formula and Complex Numbers

Front

What is the value of √-1?

Back

i

Front

Simplify √28.

Back

2√7

Front

What is the simplified form of √-28?

Back

2i√7

Front

Simplify -3√-8.

Back

-6i√2

Front

What is the simplified form of -1/3 √-90?

Back

-i √10

Front

Define 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 √-1.

Front

How do you simplify the square root of a negative number?

Back

To simplify the square root of a negative number, factor out -1 and use 'i' to represent the square root of -1.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation ax² + bx + c = 0.

Front

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

Back

The discriminant indicates the nature of the roots: if positive, there are two distinct real roots; if zero, there is one real root; if negative, there are two complex roots.