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Pre Calc

posted by on .

√(x+2) -7 =√(x+9)

  • Pre Calc - ,

    are we solving?
    If so, then ....
    square both sides
    x+2 - 14√(x+2) = x+9
    - 14√(x+2) = 7
    - 2√(x+2) = 1
    (at this point I can tell that this cannot have a solution.
    Can you see why? )

    but let's carry on
    square again
    4(x+2) = 1
    4x = -7
    x = -7/4

    check:
    if x=-7/4
    LS = √(-7/4 + 2) - 7
    = √(1/4) - 7
    = 1/2 - 7 = -13/2
    RS = √(-7/4+9) = √29/4) ≠ LS

    no solution

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