Respuesta :
The system has no real solutions.
We use the discriminant to determine how many solutions it has:
b²-4ac
This is the value under the square root in the quadratic formula. If this value is negative, then there is no real solution; we cannot have a real number square root of a negative value.
If this value is 0, there is one real solution, and if this value is positive, there are 2 real solutions.
b²-4ac=(-1)²-4(1)(0.5)=1-2=-1
We use the discriminant to determine how many solutions it has:
b²-4ac
This is the value under the square root in the quadratic formula. If this value is negative, then there is no real solution; we cannot have a real number square root of a negative value.
If this value is 0, there is one real solution, and if this value is positive, there are 2 real solutions.
b²-4ac=(-1)²-4(1)(0.5)=1-2=-1
