Find the sum of the roots of the equation that belong to the interval 0 ° ∠ x ∠30 °.

univerkov | September 2, 2021 | education

We are given a strict interval: 0 ° ∠ x ∠30 °, in which x belongs strictly to numbers from 0 to 30, not including 0 and 30.

Numbers included in this interval: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 , 23, 24, 25, 26, 27, 28, 29.

We find the sum of the roots included in this interval:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 + 21 + 22 + 23 + 24 + 25 + 26 + 27 + 28 + 29 + 30 = 435.

We add all the numbers together, we get the result – 435.

Answer: 435.

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