Answer:
47
Step-by-step explanation:
Let a, b, and c be those three numbers.
When two of the three numbers are added at a time, the possible sums are 32, 39, 23. Let
Add these three equations:
Divide this equation by 2:
The sum of all three numbers is 47.
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.