The answers are -3/4 (sum of the roots) and 9/4 (product of the roots.).
Step-by-step explanation:
Note:
- The formula for finding the sum of the roots of a quadratic equation is s = -b/a.
- The formula for finding the product of the roots of a quadratic equation is p = c/a.
Solution:
SUM OF THE ROOTS:
1. Identify the values of a, b & c
4x²+3x+9=0
a = 4
b = 3
c = 9
2. Substitute the values to the formula s = -b/a.
s = -3/4
PRODUCT OF THE ROOTS:
1. Identify the values of a, b & c
4x²+3x+9=0
a = 4
b = 3
c = 9
2. Substitute the values to the formula p = c/a
p = 9/4
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