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Why am i getting the incorrect answer- radicals.?

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  • 1 month ago
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    Because your second line does not follow from the first.

    The answer is B) √2

    A = √((9/4) - √2) + (1/2)

    A - (1/2) = √((9/4) - √2)

    A^2 - A + (1/4) = (9/4) - √2

    A^2 - A - (8/4) = - √2

    A^2 - A - 2 = - √2

    A^4 - 2 A^3 - 3 A^2 + 4 A + 4 = 2

    A^4 - 2 A^3 - 3 A^2 + 4 A + 2 = 0

    A = ± √2, A = 1 - √2, A = 1 + √2

    Checking these four solutions with the original statement of the problem, three turn out to be extraneous, leaving only +√2 to be the correct answer.

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