Answer:
No real roots
Step-by-step explanation:
The given equations are:
We make y the subject in the first equation to get
We substitute into the second expression to get:
We expand to get:
Multiply through by 4 to get:
The discriminant is given by
Since the discriminant is less than zero, the two curves never intersects.
Therefore the system has no real roots
Given:
The given system of equations is
To find:
The solution of the given system of equations.
Solution:
We have,
...(i)
...(ii)
Left hand sides of both equations are equal. So, after equalization of (i) and (ii), we get
This statement is false for any value of x and y. It means the given system of equation has no solution.
Therefore, the correct option is C.