The roots of the quadratic equation 3x^2 + 13x + 4 can be found by factoring the equation or by using the quadratic formula. By factoring, we observe that:
3x^2 + 13x + 4 = (3x + 1)(x + 4)
Setting each factor to zero, we find that:
3x + 1 = 0 or x + 4 = 0
Solving these equations, we get:
3x = -1 or x = -4
x = -1/3 or x = -4
Therefore, the roots of 3x^2 + 13x + 4 are x = -1/3 and x = -4.
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