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25 November, 16:26

Which of the following is a valid step in the solution of 4sqrt2x+4sqrt (x) + 3=0

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  1. 25 November, 17:07
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    4-sqrt (x) - 3=0 One solution was found : x = 1

    Radical Equation entered:

    4-√x-3 = 0

    Step by step solution : Step 1 : Isolate the square root on the left hand side:

    Original equation

    4-√x-3 = 0

    Isolate

    -√x = - 4+3+0

    Tidy up

    √x = 1

    Step 2 : Eliminate the radical on the left hand side:

    Raise both sides to the second power

    (√x) 2 = (1) 2

    After squaring

    x = 1

    Step 3 : Solve the linear equation:

    Rearranged equation

    x - 1 = 0

    Add 1 to both sides

    x = 1

    A possible solution is:

    x = 1

    Step 4 : Check that the solution is correct:

    Original equation, root isolated, after tidy up

    √x = 1

    Plug in 1 for x

    √ (1) = 1

    Simplify

    √1 = 1

    Solution checks!

    Solution is:

    x = 1
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