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7 June, 20:08

Solve the equation x4 - 26x2 + 25 = 0 in the real number system.

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  1. 7 June, 22:52
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    x = - 1, 1, - 5, 5.

    Step-by-step explanation:

    x4 - 26x2 + 25 = 0

    Factoring:

    (x^2 - 25) (x^2 - 1) = 0

    So x^2 - 25 = 0 gives x^2 = 25 and x = + / - 5.

    x^2 - 1 gives x^2 = 1 and x = + / - 1.
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