The equation to be solved using the quadratic formula is:
6x² + 13x + 1 = 0
To use the quadratic formula, we first identify the coefficients a, b, and c of the quadratic equation:
a = 6
b = 13
c = 1
Then we substitute these values into the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
Plugging in the values, we get:
x = (-13 ± sqrt(13^2 - 4(6)(1))) / 2(6)
Simplifying:
x = (-13 ± sqrt(157)) / 12
Therefore, the solutions are:
x ≈ -0.2134 or x ≈ -1.2866
Rounded to four decimal places, the solutions are:
x ≈ -0.2134, -1.2866