Find The Discriminant Of Quadratic Equations Worksheet

Algebra 2
Quadratic Equations

Total questions - 0

Assignment will be available soon.
Do you want to see how your students perform in this assignment?

How Will This Worksheet on “Find the Discriminant of Quadratic Equations” Benefit Your Student's Learning?

  • It aids in understanding the nature of the roots—whether they are two real, one real, or imaginary.
  • It enhances problem-solving skills by helping us determine the number of solutions and their types.
  • Additionally, it allows us to decompose the quadratic equation into simpler components, facilitating the resolution of more complex problems.

How to Find the Discriminant of Quadratic Equations?

  • Determine the values of \(a\), \(b\), and \(c\) from the given quadratic equation.
  • Insert the values of \(a\), \(b\), and \(c\) into the discriminant formula.
  • Compute the value of \(D\).

Solved Example

Q. Find the discriminant. \newline2q29q+8=02q^2 - 9q + 8 = 0\newline______
Solution:
  1. Identify coefficients: Identify the coefficients of the quadratic equation.\newlineThe quadratic equation is in the form ax2+bx+c=0ax^2 + bx + c = 0. For the equation 2q29q+8=02q^2 - 9q + 8 = 0, the coefficients are:\newlinea=2a = 2\newlineb=9b = -9\newlinec=8c = 8
  2. Calculate discriminant: Calculate the discriminant using the formula D=b24acD = b^2 - 4ac.\newlineSubstitute the identified values into the formula:\newlineD=(9)24×2×8D = (-9)^2 - 4 \times 2 \times 8
  3. Perform calculations: Perform the calculations to find the value of the discriminant.\newlineD=814×2×8D = 81 - 4 \times 2 \times 8\newlineD=8164D = 81 - 64\newlineD=17D = 17
50,000+ teachers over use Byte!

Create your unique worksheets

  • star-iconAdd Differentiated practice to your worksheets
  • star-iconTrack your student’s performance
  • star-iconIdentify and fill knowledge gaps
Create your worksheet now

About Worksheet

Algebra 2
Quadratic Equations

The discriminant is a key concept in quadratic equations used to determine the nature of the roots. Represented by the symbol \(\Delta\) (the uppercase Greek letter Delta), it is calculated using the coefficients of the quadratic function. The discriminant provides insight into the type of solutions a quadratic equation has. The formula for the discriminant is:

\(\Delta = b^2 - 4ac\)

, or

\(D = b^2 - 4ac \)

In these worksheets, students will calculate the value of the discriminant using this formula.

50,000+ teachers over the world use Byte!

Digitally assign and customise your worksheet using AI

  • star-iconAdd Differentiated practice to your worksheets
  • star-iconSee how your class performs
  • star-iconIdentify and fill knowledge gaps
Create your own assignment!

Class Performances tracking