SOLUTION: The directions say to solve each equation by graphing. The problem is written as; {{{5n^2+2n+6 = 0}}}

Question 180288This question is from textbook Algebra I
: The directions say to solve each equation by graphing.
The problem is written as;
This question is from textbook Algebra I

Found 2 solutions by stanbon, Mathtut:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
5n^2+2n+6 = 0

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Notice the graph does not cross the x-axis so there are no Real Number solutions.
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You would have to use the Quadratic formula to find the Complex
Number solutions.
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Cheers,
Stan H.
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
this quadratic produces complex roots
:

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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 -116 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 -116 is + or - .

The solution is , or
Here's your graph:

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