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algebra intermediate
Problem
What is the sum of the roots of the equation ?
Solution
Knowing that is a root of , we see that . Hence, the sum of the roots is .
Alternatively, we can rearrange the equation so that we have . Then, using the case of Vieta's formula for a quadratic, we again see that the sum of the roots is .
Alternatively, we can rearrange the equation so that we have . Then, using the case of Vieta's formula for a quadratic, we again see that the sum of the roots is .
Final answer
10