The number of zeros of the quadratic functions, considering their discriminant, is given as follows:
- discriminant = 0: 1 Real number solution.
- discriminant = -36: 0 Real number solutions.
- discriminant = 3: 2 Real number solutions.
- discriminant = 2: 2 Real number solutions.
- discriminant = 100: 2 Real number solutions.
- discriminant = -4: 0 Real number solutions.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:

The discriminant is:

The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 0 real solutions.
Hence, for the given values of the discriminant, we have that:
- discriminant = 0: 1 Real number solution.
- discriminant = -36: 0 Real number solutions.
- discriminant = 3: 2 Real number solutions.
- discriminant = 2: 2 Real number solutions.
- discriminant = 100: 2 Real number solutions.
- discriminant = -4: 0 Real number solutions.
More can be learned about quadratic functions at brainly.com/question/24737967
#SPJ1
Answer:
d
Step-by-step explanation:
Rewrite in slope intercept form (move 5x to the right, divide both sides by 2, and reorder the terms)
Answer:
The factors are (x-4) and (x+1)
(x-4)(x+1) = x²+x-4x-4 = x²-3x-4
Step-by-step explanation:
(x-4)(x+1) = x²+x-4x-4 = x²-3x-4
Answer:
raising both sides of the equation to a certain power in order to eliminate radicals may result in the creation of extraneous roots
Step-by-step explanation: