Using the quadratic formula, find the solution to 3x^2 + 18x +24 = 0
• x= 4, x = 2
• x =- 2
• x =- 2, x = -4
• x= -4
The quadratic formula is given by:
x = (-b±√(b²-4ac))/(2a)
In this case, a = 3, b = 18, and c = 24.
Substituting these values into the quadratic formula:
x = (-18±√(18²-4(3)(24)))/(2(3))
x = (-18±√(324-288))/(6)
x = (-18±√36)/(6)
x = (-18±6)/(6)
Simplifying the equation, we get:
x = (-18+6)/(6) or x = (-18-6)/(6)
x = (-12)/(6) or x = (-24)/(6)
x = -2 or x = -4
Thus, the correct answer is x = -2, x = -4.