SOLUTION: use the discriminate to find the number and type of solutions to the following quadratic equation x^2+2x+6=0 i got the answer of -20 i just don't know if it's 2 real solutions, 2 i

Question 239701: use the discriminate to find the number and type of solutions to the following quadratic equation x^2+2x+6=0 i got the answer of -20 i just don't know if it's 2 real solutions, 2 imaginary solutions or 1 real solution.
Answer by philline_palana(20) (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 -20 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 -20 is + or - .

The solution is

Here's your graph:

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