Given:
The equation is

To find:
The number of roots and discriminant of the given equation.
Solution:
We have,

The highest degree of given equation is 2. So, the number of roots is also 2.
It can be written as

Here,
.
Discriminant of the given equation is





Since discriminant is
, which is greater than 0, therefore, the given equation has two distinct real roots.
Answer:
C. x = 25/3
Step-by-step explanation:
74.40/3 friends= 24.80 for each friend. Simply division, easy to do on a calculator if you are allowed one.
Combining the like terms, the simplified polynomials are given as follows:
a) 4x² - 14x + 17
b) -5x² - 20x + 8
<h3>How are polynomials simplified?</h3>
Polynomials are simplified combining the like terms, that is, adding these numbers with the same variable.
Item a:
4(x - 2)(x + 1) - 5(2x - 5)
Applying the distributive property:
4(x² - x - 2) - 10x + 25
4x² - 4x - 8 - 10x + 25
Combining the like terms:
4x² - 4x - 10x - 8 + 25
4x² - 14x + 17
Item b:
-5(x + 2)² + 28
-5(x² + 4x + 4) + 28
-5x² - 20x - 20 + 28
-5x² - 20x + 8
More can be learned about the simplification of polynomials at brainly.com/question/24450834
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<span>Yes, Chad is likely to qualify, because his yearly income is below the median annual income of California.
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