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Anderson uses the discriminant to correctly find the number of real solutions of the quadratic equation one-halfx2 + 4x + 8 = 0. Which explanation could Anderson provide?

Respuesta :

JPMiller0906

Answer:

The discriminant of ax^2+bx+c is b^2-4ac.  

If the discriminant, d, is:

d<0, there are no real solutions (there are two imaginary solutions however)

d=0, there is one real solution

d>0, there are two real solutions

In this case d=16-32=-16 so there are two imaginary solutions.  Or from your answer choices, it can be said that there are no real number solutions becuse the discriminant is less than zero.

MrRoyal

The discriminant is 0, then the equation 0.5x^2 + 4x + 8 = 0 has exactly one real root

How to determine the number of real solutions?

The equation is given as;

0.5x^2 + 4x + 8 = 0

The discriminant is calculated using:

d = b^2 - 4ac

So, we have:

d = 4^2 - 4 * 0.5 * 8

Evaluate

d = 0

Given that the discriminant is 0, then the equation has exactly one real root

Read more about number of real solution at:

https://brainly.com/question/3419787

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