Using the discriminant, the quadratic equation that has complex solutions is given by:
x² + 2x + 5 = 0.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
y = ax² + bx + c
The discriminant is:
The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
In this problem, we want a negative discriminant, hence the equation is:
x² + 2x + 5 = 0.
As the coefficients are a = 1, b = 2, c = 5, hence:
More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811
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Answer:
The answer is: B
Step-by-step explanation:
Hope this helps!
You can see the side conditions for the function. We read the x CANNOT be 4. See it?
We evaluate the bottom piece at x = 4. Let's do that.
f(x) = -2x
Let x be 4.
f(4) = -2(4)
f(4) = -8
What about the other piece?
Evaluate the top piece at x = 2.
Let's do that.
f(x) = 3x
Let x be 2.
f(2) = 3(2)
f(2) = 6
Answer: Choice D
Did you follow? It is a piecewise function. Solve it one piece at a time keeping each side condition in mind along the way.
Answer:
They ran a total of 4 miles
Step-by-step explanation:
2 1/3 + 1 2/3 = 4
