SOLUTION: find x intercepts y=x^2-2x+4 could you show all steps i am having a hard time with this

Question 43678: find x intercepts y=x^2-2x+4 could you show all steps i am having a hard time with this
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!

There are no x-intercepts.

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 -12 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 -12 is + or - .

The solution is

Here's your graph:

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