Chapter 5

Question 1

What is the discriminant?

Answer 1

b² - 4ac

Question 2

What are the key points when finding roots?

Answer 2

• If b² - 4ac = 0, the equation has two real and equal roots (solutions).
• If b² - 4ac > 0, the equation has two real and distinct roots.
• If b² - 4ac < 0, the equation has no real roots.

Question 3

What is the equation for the sum of the roots in a quadratic equation?

Answer 3

-b/a

Question 4

What is the equation for the product of the roots in a quadratic equation?

Answer 4

c/a

Question 5

How can the quadratic equation be written using the sum and products of the roots?

Answer 5

x² -(-b/a)x + (c/a) = 0