Use the quadratic formula to solve. Express your answer in simplest form.
3, x, squared, plus, 20, x, plus, 25, equals, 0
3x
2
+20x+25=
0
To solve the quadratic equation 3x^2 + 20x + 25 = 0 using the quadratic formula, we first identify the values of a, b, and c:
a = 3
b = 20
c = 25
Now, we can substitute these values into the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
x = (-(20) ± √((20)^2 - 4(3)(25))) / 2(3)
Simplifying further,
x = (-20 ± √(400 - 300)) / 6
x = (-20 ± √100) / 6
x = (-20 ± 10) / 6
Therefore, the solutions are:
x = (-20 + 10) / 6 = -10 / 6 = -5/3
x = (-20 - 10) / 6 = -30 / 6 = -5