Gisellesolorzano13 Gisellesolorzano13
  • 10-05-2021
  • Mathematics
contestada

Solve the equation by factoring: 12y^3 – 13y^2 + 3y = 0

Respuesta :

jimrgrant1 jimrgrant1
  • 10-05-2021

Answer:

y = 0, y = [tex]\frac{1}{3}[/tex], y = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given

12y³ - 13y² + 3y = 0 ← factor out y from each term

y(12y² - 13y + 3) = 0

y(3y - 1)(4y - 3) = 0 ← in factored form

Equate each factor to zero and solve for y

y = 0

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

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]

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