SOLUTION: I am trying to find the x-intercepts of x squared minus x plus 25. I have already found the y-intrercept, but I am trying to factor the equation.

Question 206855: I am trying to find the x-intercepts of x squared minus x plus 25. I have already found the y-intrercept, but I am trying to factor the equation.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!

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 : .

The discriminant -99 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 -99 is + or - .

The solution is , or
Here's your graph:

------------
There are no x-intercepts, and that can't be factored with real numbers.

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