Neil is analyzing a quadratic function f (x) and a linear function g (x). Will they intersect?

The truth is they will intersect and let me explain it to you:

f (x) = x^2 + 6x + 10

13 = x^2 + 6x + 10

x^2 + 6x - 3 = 0

Solving the quadratic equations:

The roots of the equation is

x = 0.4641 and

x = - 6.4541

That is why we say that It will intersect