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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 2x2 + 11x + 12 = 0.
-11/2
2/11
11/2
-2/11

Q 2: Find the sum of the roots of 12x2 - x - 1 = 0.
-12
1/12
-1/12
12

Q 3: Find the product of the roots of 6x2 - 13x + 6 = 0.
5
-1
1

Q 4: Find the product of the roots of 6x2 + 9x - 6 = 0.
1
2
-1

Q 5: Find the product of the roots of 8x2 - 14x - 15 = 0.
8/15
-15/8
15/8
-8/15

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

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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