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find the sum and product of roots “4x²+3x+9=0​

Sagot :

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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