Question

Consider the following system of equations.

Which statement describes why the system has two solutions?
Each graph has one y-intercept, which is a solution.
Each graph has one vertex, which is a solution.
The graphs of the equations intersect the x-axis at two places.
The graphs of the equations intersect each other at two places.

Answer 1

d

Explanation:

Answer 2

The last statement is the right one

The solutions may be found like this

`6 x^(2) +1= x^(2) +4-\ \textgreater \ 5 x^(2) =3-\ \textgreater \ x^(2) =3/5-\ \textgreater \ x=+ \sqrt{ (3)/(5) } ,x=- \sqrt{ (3)/(5) }`