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How would you solve this?

(a-2) - 11*sqrt(a-2) + 30 = 0

solutions are 27 and 38

1 Answer

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  • Ron W
    Lv 7
    1 decade ago
    Favorite Answer

    Let x = √(a-2). Then the equation becomes

    x² - 11x + 30 = 0

    (x - 5)(x - 6) = 0

    x = 5 or x = 6

    Substitute back in terms of a:

    √(a - 2) = 5

    a - 2 = 25

    a = 27

    √(a - 2) = 6

    a - 2 = 36

    a = 38

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