SOLUTION: find the x and y intercepts: y = x squared + 8x + 14

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Question 167601: find the x and y intercepts:
y = x squared + 8x + 14
Found 2 solutions by Mathtut, Alan3354:
Answer by Mathtut(3670) (Show Source):
You can put this solution on YOUR website!
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 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. :

Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
find the x and y intercepts:
y = x squared + 8x + 14
-----------------
To find the y-intercept, set x=0
y = 14, so it's (0,14)
Finding the x-intercepts is solving for x

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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. Here's your graph:

To clarify, the x-intercepts are:
and