How do you solve 3x^2 + 5x + 1 = 0 using the quadratic formula?

1 Answer
Aug 4, 2018

x = (-5 + sqrt13)/6 and x = (-5 - sqrt13)/6

Explanation:

3x^2 + 5x + 1 = 0

The quadratic formula is x = (-b +- sqrt(b^2 - 4ac))/(2a).

We know that:
a = 3, b = 5, and c = 1 based on the equation, so let's plug them into the formula:

x = (-5 +- sqrt(5^2 - 4(3)(1)))/(2(3))

x = (-5 +- sqrt(25 - 12))/6

x = (-5 +- sqrt13)/6

Hope this helps!