Question 167601
this is a parabola the y intercept is found setting x's value to zero

so y intercept is 14 or (0,14)

the x intercepts are found by setting y=0

so we have {{{x^2+8x+14}}} using the quadratic formula we come up with x intercepts of -2.59 and -5.41 or (-2.59,0)and (-5.41,0)

Quadratic equation  (in our case ) has the following solutons:



For these solutions to exist, the discriminant  should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=8 is greater than zero. That means that there are two solutions: 





Quadratic expression  can be factored:

Again, the answer is: -2.58578643762691, -5.41421356237309. :