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kakasveta [241]
2 years ago
8

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

Mathematics
1 answer:
Rudiy272 years ago
4 0

Answer:

y = 0, y = \frac{1}{3}, y = \frac{3}{4}

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 = \frac{1}{3}

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = \frac{3}{4}

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