Using the quadratic formula, find the solution to 3x^2+18x+24=0 .(1 point) Responses x=−2 x equals negative 2 x=−4 x equals negative 4 x=−2 , x=−4 x equals negative 2 , x equals negative 4 x=4 , x=2
To find the solution to the equation 3x^2 + 18x + 24 = 0 using the quadratic formula, we can plug in the values into the formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 3, b = 18, and c = 24. Substituting these values into the formula:
x = (-18 ± √(18^2 - 4(3)(24))) / (2(3))
x = (-18 ± √(324 - 288)) / (6)
x = (-18 ± √36) / 6
x = (-18 ± 6) / 6
Simplifying further:
x = (-18 + 6) / 6 or x = (-18 - 6) / 6
x = -12/6 or x = -24/6
x = -2 or x = -4
Therefore, the solutions to the equation 3x^2 + 18x + 24 = 0 are x = -2 and x = -4.