Using the quadratic formula, find the solution to 3x2+18x+24=0 . (1 point) Responses x = - 4 x = - 4 x = - 2 x = - 2 x = -2, x = -4 x = -2, x = -4 x = 4, x = 2
To find the solution to the quadratic equation 3x^2 + 18x + 24 = 0 using the quadratic formula, we can use the formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this equation, a = 3, b = 18, and c = 24. Now we can substitute 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
This gives us two possible solutions:
x = (-18 + 6) / 6 = -12/6 = -2
x = (-18 - 6) / 6 = -24/6 = -4
So the solution to the quadratic equation 3x^2 + 18x + 24 = 0 is x = -2 and x = -4.