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If -1 is one of the roots of the equation 3x² - 2k - 2x  - 1 = 0, find the value of k. ​

2 Answers

6 votes
the value in k is k=12
User Bas Van Ommen
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5.1k points
1 vote

Answer:

k = 2

Explanation:

Given that x = - 1 is a root of the equation, then it satisfies the equation.

Substitute x = - 1 into the equation and solve for k, that is

3(- 1)² - 2k - 2(- 1) - 1 = 0

3 - 2k + 2 - 1 = 0

- 2k + 4 = 0 ( subtract 4 from both sides )

- 2k = - 4 ( divide both sides by - 2 )

k = 2

User Gugan Mohan
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3.9k points