SOLUTION: 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 th

Question 171185: 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. I am confused I always thought it was Ax^2 +Bx +C=0, am I missing something in this question? Please help

Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
The D they are referring to is the Determinant of the quad. It is found by using the coefficents of the standard form. When D<0 you get 2 complex roots for a solution.
:
D = b2 - 4ac
:
example of an equation that gives a negative D....
D = b2 - 4ac
= (-4)2 - 4(1)(13) = -36
:
solution

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 -36 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 -36 is + or - .

The solution is

Here's your graph:

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