Module 2 Review

• What is the square root of a negative number?

• What is the square root of a positive number?

• What is the cube root of a negative number?

• What is the square of an imaginary number?

• What is an imaginary number?

• What is a real number?

• What is a complex number?

• What is a rational number?

What does the Quadratic Formula state about the solutions of the equation ax^2 + bx + c = 0?

• The solutions of the equation ax^2 + bx + c = 0, where a ≠ 0, are given by x = (-b ± √(b² - 4ac)) / (2a). The radicand, b² - 4ac, is called the discriminant, and indicates the number of real solutions.

• The solutions of the equation ax^2 + bx + c = 0 are always real numbers.

• The solutions of the equation ax^2 + bx + c = 0 can be found using the formula x = (b ± √(b² + 4ac)) / (2a).

• The solutions of the equation ax^2 + bx + c = 0 are given by x = (-b ± √(b² - 4ac)) / (a).

• t = 0.5 and t = 1.5

• t = 1 and t = 2

• t = 1.5 and t = 2

• t = 2 and t = 2.5

Do the solutions to Part A describe when the penny hits the ground?

• Yes, they describe when the penny hits the ground.

• No, they do not describe when the penny hits the ground.

• 15 - 4i

• 15 - 2i

• 3 - 4i

• 3 - 2i

• -2 + 4i

• 2 + 4i

• -2 - 4i

• 2 - 4i

• -28 - 17i

• -28 + 17i

• 28 - 17i

• 28 + 17i

• 4 + 16i

• -12 + 16i

• -12 + 16i^2

• 12 + 16i

9. Without solving, can you tell how many and what type of solution(s) the equation 0 = x^2 - 8x + 17 has? Explain your answer.

• Two real and distinct solutions

• One real solution

• Two complex solutions

• No solution