SOLUTION: Hiiii,, Could you please help me about this?!I solved it but the answers was undefined!!!!Also could you tell me what is the discriminant?Thanksss By examination of the discrimina

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Question 201986: Hiiii,, Could you please help me about this?!I solved it but the answers was undefined!!!!Also could you tell me what is the discriminant?Thanksss
By examination of the discriminant, determine the nature of the roots for the following equation:
Found 2 solutions by vleith, jim_thompson5910:
Answer by vleith(2983)   (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 -40 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 -40 is + or - .

The solution is

Here's your graph:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

From we can see that , , and


Start with the discriminant formula.


Plug in , , and


Square to get


Multiply to get


Subtract from to get


Since the discriminant is less than zero, this means that there are two complex solutions.


In other words, there are no real solutions.
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