SOLUTION: -5(n-3)^2=10

Question 677510: -5(n-3)^2=10
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
-5(n-3)^2=10
(n-3)^2=-2
n^2-6n+9=-2
n^2-6n+11=0
n=3-sqrt(2)i, n=3+sqt(2)i
see below.
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Ed
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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 -8 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 -8 is + or - .

The solution is

Here's your graph:

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