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25 November, 17:00

Tentukan nilai x, jika (2x + 1) + (2x2) + (2x + 3) + ... + (2x + 50) = 4.275

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  1. 25 November, 17:15
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    We have 50 groupings of parentheses. We can tell because the first parentheses has a + 1 and the last parentheses has a + 50.

    50 * 2x = 100x

    Now we have to find 1 + 2 + 3 + ... + 50.

    Add 1 and 50 together. Now add 2 and 49 together. Add 3 and 48 together. Notice how each pair sums to 51. We have 50/2 = 25 pairs and each pair equals 51.

    25*51 = 1275

    100x + 1,275 = 4,275

    100x = 3000

    x = 30
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