Solve the following quadrtatic equation. 5x²+2x+1=0

5x² + 2x + 1 = 0

Use the
quadratic formula:

x = [-b +- sqrt(b^2 - 4ac)] /
2a

Identify your variables.

a
= 5, b = 2, c = 1

Substitute the variables into the
quadratic formula and simplify.

[-2 +- sqrt(2^2 - 4 * 5 *
1)] / (2 * 5)

[-2 +- sqrt(4 - 20)] /
10

[-2 +- sqrt(-16)] /
10

Since you cannot square root a negative number, there
are no real solutions.  However, if you are using imaginary
numbers, proceed as follows:

(-2 +- 4i) /
10

Your non-real solutions
are:

-0.2 + 0.4i
and -0.2 - 0.4i