Question

What is the sum of the solutions for 6x^2 − x − 2 = 0?

Answer 1

Answer:

The sum is 1/6

Step-by-step explanation:

This factors into

Factors

(3x - 2)(2x + 1) = 0

First root

3x - 2 = 0

3x = 2

x = 2/3

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Second Root

2x + 1 = 0

2x = 1

2x = - 1

x = - 1/2

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The two roots are 2/3 and - 1/2

When you add these two together, you get

2/3 - 1/2 = 4/6 - 3/6 = 1/6

The two roots add up to 1/6