Determining the Discriminant of Quadratic Equations

What is the first step in solving the given problem?

• Solve the quadratic equation

• Graph the equation

• Describe the discriminant

• Identify the roots

What does the coefficient 'a' represent in the quadratic equation ax^2 + bx + c?

• The quadratic term coefficient

• The linear term coefficient

• The constant term

• The discriminant

What is the value of 'b' in the equation given in the video?

• 5

• -1

• 1

• -5

Which formula is used to calculate the discriminant?

• c^2 - 4ab

• b^2 - 4ac

• a^2 - 4bc

• a^2 + b^2 - c^2

What is the value of the discriminant in the given problem?

• 1

• 20

• 21

• 25

What is the next step after calculating the discriminant?

• Check for errors

• Graph the equation

• Describe the roots

• Solve for x

Which of the following is a square number?

• 18

• 20

• 16

• 21

What type of roots does a positive non-square discriminant indicate?

• Two real rational roots

• No real roots

• Two real irrational roots

• One real root

Why is the discriminant value 21 considered a non-square number?

• It is an even number

• It is a prime number

• It is negative

• It is not a perfect square

What is the nature of the roots if the discriminant is positive and not a perfect square?

• One real root

• No real roots

• Two real irrational roots

• Two real rational roots