SOLUTION: I need someone help I'm totally stuck. please please help. Thank you. What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also

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: I need someone help I'm totally stuck. please please help. Thank you.
What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation. This question is from textbook

Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!
when D, which is the discriminant , is less than zero you will get complex roots
:
and a,b,and c are coefficients of a standard quadratic equation
:
The reason why D<0 is complex is because you are taking the square root of D.....so naturally a square root of a negative number will be complex.
:
x^2 + 5x + 7 = 0 would be and example
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 -3 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 -3 is + or - .

The solution is

Here's your graph:
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