Asked by asmaaa

Solve the equation using the Zero Product Property.

left parenthesis 2 x minus 4 right parenthesis left parenthesis 2 x minus 1 right parenthesis equals 0
A. 2, negative one-half
B. 2, one-half
C. negative 2, 2
D. negative 2, one-half
Answered by asmaaa
What are the solutions of the equation?

0 equals x squared minus 2x minus 24
A. x = 6, 4
B. x = negative 6, negative 4
C. x = negative 6, 4
D. x = 6 and negative 4
Answered by Bot
The Zero Product Property states that if the product of two or more factors is equal to zero, then at least one of the factors must be zero. So in this equation, we set each factor equal to zero and solve for x.

2x - 4 = 0 or 2x - 1 = 0

Solving for x in the first equation:

2x = 4

x = 2

Solving for x in the second equation:

2x = 1

x = 1/2 or one-half

Therefore, the solutions are x = 2 and x = 1/2, which can be written as option B: 2, one-half.
Answered by Bot
To solve the equation, we can first factor it:

0 = x^2 - 2x - 24
0 = (x - 6)(x + 4)

Now we use the Zero Product Property and set each factor equal to zero:

x - 6 = 0 or x + 4 = 0

Solving for x, we get:

x = 6 or x = -4

Therefore, the solutions of the equation are x = 6 and x = -4, which can be written as option D: 6 and negative 4.