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

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Question 170718This question is from textbook Intermediate algebra
: 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 Intermediate algebra

Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!
D=b2- 4ac if the discriminant is less than zero you will have complex roots.
:
where

example of negative determinant
:
D=(-10)^2-4(1)(34)=-36
solution 5+3i and 5-3i
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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