SOLUTION: Find the discriminant for each equation. Describe the roots. Give D, then the number of rational, irrational or complex roots. ( ex: 36, 2 rational) x^2-x +6=0

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Question 627758: Find the discriminant for each equation. Describe the roots.
Give D, then the number of rational, irrational or complex roots. ( ex: 36, 2 rational)
x^2-x +6=0
Answer by reviewermath(1029)   (Show Source): You can put this solution on YOUR website!
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 -23 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 -23 is + or - .

The solution is

Here's your graph:
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