kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics
6.4 Relation Between Roots and Coefficients of a Quadratic Equation

If the roots of ax2 + bx + c = 0 are a and b then,
  • Sum of the roots (a + b) = -b/a = (Coefficient of x / Coefficient of x2).
  • Product of the roots (a * b) = c/a = (constant term / coefficient of x2).

Example - I:
Find the sum of the roots of x2 - x - 20 = 0.
Solution:
Given that x2 - x - 20 = 0.
Formula for sum of the roots (a + b) = -b/a
Here, a = 1 and b = -1
= -(-1)/1
= 1

Example - II:
Find the product of the roots of x2 - x - 20 = 0
Solution:
Given that x2 - x - 20 = 0
Formula for sum of the roots (a * b) = c/a
Here, a = 1 and c = -20
= -20/1
= -20


Directions: Solve the following problems. Also write at least 5 examples of your own.
Q 1: Find the sum of the roots of 12x2 - x - 1 = 0.
-1/12
-12
12
1/12

Q 2: Find the sum of the roots of 6x2 + 7x + 2 = 0.
-7/6
-6/7
6/7
7/6

Q 3: Find the product of the roots of 8x2 - 14x - 15 = 0.
-15/8
8/15
15/8
-8/15

Q 4: Find the sum of the roots of 6x2 + 13x + 5 = 0.
-13/6
13/6
-6/13
6/13

Q 5: Find the product of the roots of 6x2 + 9x - 6 = 0.
2
1
-1

Q 6: Find the sum of the roots of 2x2 + 11x + 12 = 0.
2/11
11/2
-2/11
-11/2

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


Subscription to kwizNET Learning System offers the following benefits:

  • Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
  • Instant scoring of online quizzes
  • Progress tracking and award certificates to keep your student motivated
  • Unlimited practice with auto-generated 'WIZ MATH' quizzes
  • Child-friendly website with no advertisements
  • Choice of Math, English, Science, & Social Studies Curriculums
  • Excellent value for K-12 and ACT, SAT, & TOEFL Test Preparation
  • Get discount offers by sending an email to discounts@kwiznet.com

Quiz Timer