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contestada

If 2x²-6x=0, then
Select all that apply
a. 2x=0
b. x-6=0
c. x-3=0
d. x+1=0

Respuesta :

sqdancefan
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
kudzordzifrancis
ANSWER

[tex]a. \: \: 2x = 0[/tex]
[tex]b. \: \: x - 3 = 0[/tex]


EXPLANATION

The given quadratic equation is
[tex]2 {x}^{2} - 6x = 0[/tex]


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


Then we factor to obtain,

[tex]2x(x - 3) = 0[/tex]

Using the zero product property, we must have either


[tex]2x = 0 \: or \: x - 3 = 0[/tex]

Therefore the correct answer is A and C.

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