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Considering the sum and the product of the roots of the quadratic equation, it is found that the numeric value of the expression is given as follows:
A quadratic equation is defined as follows:
The roots of the equation are given as follows:
The sum of the roots is given as follows:
The product of the roots is given as follows:
In the context of this problem, the product is of 4, as hence:
c/a = 4
c = 4a.
The coefficients are in an arithmetic progression, hence:
- b = a + d. (d is the common difference of the sequence).
- c = a + 2d.
We have that c = 4a, hence:
4a = a + 2d
2d = 3a
d = 1.5a.
Hence coefficient b is calculated as follows:
b = a + d = a + 1.5a = 2.5a.
Then the sum of the roots is given as follows:
More can be learned about quadratic equations at brainly.com/question/24737967
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