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23 March, 23:14

Solve the radical equation q-6=√27-2q

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  1. 24 March, 02:55
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    q - 6 = sqrt (27 - 2q)

    Squaring both sides:-

    (q - 6) ^2 = 27 - 2q

    q^2 - 12q + 36 = 27 - 2q

    q^2 - 10q + 9 = 0

    (q - 9) (q - 1) = 0

    so there are 2 solutions q = 1 and q = 9.

    Testing to see if the solutions are not extraneous:-

    q = 9:-

    9 - 6 = 3

    sqrt (27-18) = 3 So q = 9 is a solution (answer)

    q = 1

    q - 6 = - 5

    sqrt (27 - 2) = sqrt 25 = - 5 so q = 1 is also an answer
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