Exploring the Quadratic Formula and Discriminant

What does the quadratic formula help to determine in a quadratic equation?

• The roots or solutions of the equation

• The discriminant value

• The coefficients of the equation

• The degree of the polynomial

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

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

• Exactly one real solution

• Infinite solutions

• Two real solutions

• No real solutions

Tags

CCSS.HSA.REI.B.4

How many real solutions does a quadratic equation have if the discriminant is zero?

• None

• Two

• One

• Cannot be determined

Tags

CCSS.HSA.REI.B.4

In the quadratic formula, what does 'c' represent?

• The constant term

• The discriminant

• The leading coefficient

• The coefficient of x

What is the correct expression for the discriminant in a quadratic equation?

• b^2 + 4ac

• b/2a - 4c

• b^2 - 4ac

• 4ac - b^2

Tags

CCSS.HSA.REI.B.4

If the discriminant of a quadratic equation is negative, how many real solutions exist?

• Two

• Cannot be determined

• One

• None

Tags

CCSS.HSA.REI.B.4

What is the effect of a discriminant of zero on the nature of solutions for a quadratic equation?

• Exactly two distinct real solutions

• Exactly one real solution

• No real solutions

• At least one complex solution

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.C.9

What is the result of applying the quadratic formula to an equation with a negative discriminant?

• One real solution

• Infinite solutions

• No real solutions

• Two real solutions

Tags

CCSS.HSA.REI.B.4

What does the quadratic formula explicitly solve for in a quadratic equation?

• The x-intercepts of the equation

• The vertex of the parabola

• Maximum or minimum values

• The y-intercept of the graph

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

How do you simplify the square root of 20 in the context of solving quadratic equations?

• 2 * sqrt(5)

• 4 * sqrt(5)

• 5 * sqrt(4)

• sqrt(10)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2