SOLUTION: Find the x-intercepts. y = x^2 + 4

Question 173629This question is from textbook Introductory Algebra
: Find the x-intercepts.
y = x^2 + 4 This question is from textbook Introductory Algebra

Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!

to find the x-intercepts, you want to find the values for x that result in y=0

You can plot this or use the quadratic equation to solve

Solved by pluggable solver: SOLVE quadratic equation with variable

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 : .

The discriminant -16 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -16 is + or - .

The solution is

Here's your graph:

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