Given:
The system of equations is
To find:
The true statement about the given system of equations.
Solution:
The slope intercept form of a line is
Where, m is the slope and b is the y-intercept.
We have,
On comparing these two lines with slope intercept form, we get
Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.
Therefore, the correct option is A.
The roots of the equation , 2+3=m, are non real roots.
The quadratic formula's discriminant is represented by the square root symbol -4ac. If there are two solutions, one solution, or none at all, the discriminant informs us.
As of now, 2m²+3=m we need to find the kind of roots they have.
2m²+3=m
2m²-m+3=0
Here, we can derive the following values from the equation:
a = 2, b = -1, c = 3
An equation's discriminant is stated as:
D = b²-4ac
D = (-1)(-1) - 4(2)(3)
D = 1 - 24
D = -23
Discriminant can determine the kind of roots that the equation contains.
In this instance, the discriminant is below 0.
The equation's roots are complex conjugates when D < 0.
Hence the roots for the equation are non real roots.
To get more information about discriminant follow the link:
https://brainly.in/question/27214502
#SPJ4