Solve this quadratic equation using the quadratic formula. 3x² + 5x + 1 = 0

Solution:

The given quadratic equation is

The quadratic formula is given by x = (-b ± √ (b² - 4ac)) / 2a

We know that coefficient of x²  is a, coefficient of x is b and the constant is c.

Thus, for the given equation 3x² + 5x + 1 = 0,

We have, a = 3, b = 5 and c = 1

Using the quadratic formula, we get,

⇒ x = -5 ± √ (5² - 4(3)(1)) / 2(3) 

⇒ x = (-5 ± √13) / 6

Therefore, the solution is x = [-5± √13]/6.

Solve this quadratic equation using the quadratic formula. 3x² + 5x + 1 = 0

Summary:

Solving the quadratic equation 3x² + 5x + 1 = 0 using the quadratic formula we get x = [-5± √13]/6.