Answer:
1) ------> 1 solution
2) ------> No solutions
3) ----> No solutions
4) ----> 2 solutions
5) ----> 2 solutions
Step-by-step explanation:
we know that
Using a graphing tool
Verify each case
case 1) we have
-----> equation A
we know that
The equation A can be divided into two equations B and C
-----> equation B
-----> equation C
The solution of the equation A is the x-coordinate of the intersection point graph equation B and graph equation C
see the attached figure N 1
One point of intersection
therefore
One solution
case 2) we have
-----> equation A
we know that
The equation A can be divided into two equations B and C
-----> equation B
-----> equation C
The solution of the equation A is the x-coordinate of the intersection point graph equation B and graph equation C
see the attached figure N 2
No point of intersection
therefore
No solutions
case 3) we have
-----> equation A
we know that
The equation A can be divided into two equations B and C
-----> equation B
-----> equation C
The solution of the equation A is the x-coordinate of the intersection point graph equation B and graph equation C
see the attached figure N 3
No point of intersection
therefore
No solutions
case 4) we have
-----> equation A
we know that
The equation A can be divided into two equations B and C
-----> equation B
-----> equation C
The solution of the equation A is the x-coordinate of the intersection point graph equation B and graph equation C
see the attached figure N 4
Two point of intersection
therefore
Two solutions
case 5) we have
-----> equation A
we know that
The equation A can be divided into two equations B and C
-----> equation B
-----> equation C
The solution of the equation A is the x-coordinate of the intersection point graph equation B and graph equation C
see the attached figure N 5
Two point of intersection
therefore
Two solutions