Question

2. If 3x² - 2x - 16 = 0, then x = ?

F. -8/3 or -2
G. 3/8 or 2
H. -2 or 8/3
J. -2 or 3/8
K. 2 or 8/3

Answer 1

Answer: H. -2 or 8/3

Explanation:

3x^2-2x-16=0

Multiply 3 times 16

x^2-2x-48=0

find two numbers that will add up to equal -2 and will be multiplied to get -48. (-8 and 6)

(x-8)(x+6)

divide both numbers by 3 but since you cannot divide 8 and 3 you will move the 3 in front of the x.

(3x-8)(x+2)

Set both equal to 0.

3x-8=0 x+2=0

x= 8/3 x=-2