Consider the simultaneous equations
3x² + 2xy = 4
x + y = a
where a is a real constant.
Find the complete set of values of a for which the equations have two distinct real solutions for x.
There are no values of a.
-2 < a < 2
-1 < a < 1
a = 0
a < -1 or a < 1
a < -2 or a < 2
All real values of a
