What are the roots of y = x - 3x - 10?

-3 and - 10

-2 and 5

2 and - 5

3 and 10

-2 and 5

Step-by-step explanation:

If roots of a quadratic are "a" and "b", then (x-a) and (x-b) are factors. Then the quadratic can be written as ...

y = (x - a) (x - b) = x^2 - (a+b) x + ab

That is, the constant (-10) is the product of the roots, and the x-coefficient (-3) is the opposite of their sum.

In short, you want a solution pair that has a sum of 3. Only one answer qualifies: - 2 and 5.