Given:
The quadratic equation is:

To find:
The discriminant of the given equation and the number of real solutions.
Solution:
If a quadratic equation is
, then the value of discriminant is:

If D<0, then the quadratic equation has no real roots or two imaginary roots.
If D=0, then the quadratic equation has two equal real roots.
If D>0, then the quadratic equation has two distinct real roots.
We have,

Here,
. So, the discriminant of the given equation is:



Since D<0, therefore the number of real solutions is 0.
Hence, the value of the discriminant is -31 and the number of real solutions is 0.
Answer: 7.5 miles per hour
Step-by-step explanation:
First speed was 3 miles per hour.
Second speed was 12 miles per hour.
To do an average, add both speeds and divide by two, which is the number of trips made.
= (3 + 12) / 2
= 15 / 2
= 7.5 miles per hour
Answer:
Primero, dibuje el escenario. El camino tomado por Shane forma un triángulo rectángulo. La distancia desde el punto de partida forma la hipotenusa.