Question

Consider the following systems of equations:

Answer 1

Hello:
6x²+1 = x²+4 
5x² = 3 
x² = 3/5
the system has two solutions  ( X² =b  ..b> 0 has two solutions : ± √b)
x = √(3/5) or x =  - √(3/5)
if : x = √(3/5)   y = √(3/5) ² +4 =3/5 +4 =23/4
if : x = - √(3/5)   y =(- √(3/5)) ² +4 =3/5+4 =23/4
The graphs of the equations intersect each other at two places (points) :
A(√(3/5) , 23/4)    and B (-√(3/5) , 23/4)

Answer 2

Answer on ed:

D: "The graphs of the equations intersect each other at two places."