Respuesta :

Answer:

x = 0, x = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given

6x² - 2x = 0 ← factor out 2x from each term

2x(3x - 1) = 0 ← in standard form

Equate each factor to zero and solve for x

2x = 0 ⇒ x = 0

3x - 1 = 0 ⇒ 3x = 1 ⇒ x = [tex]\frac{1}{3}[/tex]

Answer: The roots are 0 and 1/3

Step-by-step explanation:

The roots are also the x intercepts. Since this is a quadratic equation the points on the x axis are the roots. In this case the points are 0 and 1/3 since that is where the lines of the parabola pass through.