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20 July, 01:24

If a⊕ b = 1 / a + 1 / b, for what decimal value of a is a⊕ 0.2 = 10?

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  1. 20 July, 01:37
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    a = 0.2

    Step-by-step explanation:

    Given the operation a⊕ b = 1 / a + 1 / b, it can be inferred from the operation that a is similar to 1/a and b is similar to 1/b.

    For the operation a⊕ 0.2 = 10, on applying the rule above;

    1/a+1/0.2 = 10

    1/a + 5 = 10

    1/a = 10-5

    1/a = 5

    a = 1/5

    a = 0.2
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