First find the square root of -24 which would be -4.898979486 then either subtract 1 or add negative 1, it's the same thing, and that would give you -5.898979486.
Answer 1. Discriminant
Given: A quadratic equation 
on comparing to the standard quadratic equation
,we get a=1,b=-4 and c=5
Discriminant 
<0, which means there will be complex number solutions.
Answer 2. The number of real solutions the equation has,depends on the discriminant
1) If d = 0, then the quadratic equation will have exactly one real number solution (with duplicity.)
2) If d > 0 then the quadratic equation will have exactly two real number solutions.
3) If d < 0 then the quadratic equation will have no real solutions. There will be two complex number solutions.
I don’t think you wrote the problem correct, I’m a freshmen in college and your problem is stating A*X+Z=A*w-y to solve this problem we would need to know the givens. I may be completely spacing on this being the fact a tool a gap year before going back to school but this doesn’t seem right, sorry