SOLUTION: Must solve using the quadratic formula: {{{sqrt(5)x^2 + 2x + 1 = 0}}}. So far, I have gotten {{{(-2+-sqrt(4-4sqrt(5)))/(2sqrt(5))}}}, but I don't know how to simplify it further.

Question 892926: Must solve using the quadratic formula: . So far, I have gotten , but I don't know how to simplify it further.
Answer by richwmiller(17219) (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 -4.94427190999916 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 -4.94427190999916 is + or - .

The solution is

Here's your graph:

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