Question

If 2x²-6x=0, then

Select all that apply
a. 2x=0
b. x-6=0
c. x-3=0
d. x+1=0

Answer 1

ANSWER


`a. \: \: 2x = 0`

`b. \: \: x - 3 = 0`


Step-by-step explanation

The given quadratic equation is

`2 {x}^(2) - 6x = 0`


Since the constant term is zero, we can easily solve the given equation by factoring.


Then we factor to obtain,


`2x(x - 3) = 0`

Using the zero product property, we must have either



`2x = 0 \: or \: x - 3 = 0`

Therefore the correct answer is A and C.

Answer 2

The equation can be factored as
.. 2x(x -3) = 0
Using the zero-product rule, each of the factors can be zero.
.. 2x = 0 . . . . . . selection A
.. x-3 = 0 . . . . . selection C