Solving Quadratic Equations with the Quadratic Formula

What does a positive discriminant indicate about the solutions of a quadratic equation?

• One real solution

• Infinite solutions

• Two real solutions

• No real solutions

How do you interpret the solutions when the discriminant is zero?

• Infinite solutions

• No real solutions

• One real solution

• Two real solutions

What does it mean if the discriminant is negative?

• Infinite solutions

• Two real solutions

• One real solution

• No real solutions

What is the first step in solving a quadratic equation using the quadratic formula?

• Identify the values of a, b, and c

• Calculate the discriminant

• Simplify the equation

• Rewrite the equation in standard form

What is the purpose of creating a 'skeleton' of the quadratic formula?

• To simplify the equation

• To identify the discriminant

• To plug in the values of a, b, and c

• To calculate the solutions directly

How do you calculate the discriminant?

• b^2 - 4ac

• 2a - b^2 + c

• a^2 + b^2 - 4c

• b^2 + 4ac

What does the discriminant being 33 indicate?

• Cannot be determined

• No real solutions

• Two real solutions

• One real solution

After simplifying the equation, what is the next step?

• Calculate the discriminant

• Identify the values of a, b, and c

• Separate into two decimals

• Simplify the radical

What is the final form of the solution for the given quadratic equation?

• x = 1 ± sqrt(33) / 4

• x = 1 ± sqrt(33)

• x = -1 ± sqrt(33) / 4

• x = 2 ± sqrt(33) / 4

How do you convert the final answer into decimal form?

• Use the quadratic formula

• Separate into two equations and solve

• Calculate the discriminant

• Simplify the radical