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4 January, 15:18

What is the solution of the equation? (√2x-1) + 2=x

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  1. 4 January, 15:22
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    x = 5

    Step-by-step explanation:

    √ (2x - 1) + 2 = x

    √ (2x - 1) = x - 2

    2x - 1 = (x - 2) ²

    2x - 1 = x² - 4x + 4

    0 = x² - 6x + 5

    0 = (x - 1) (x - 5)

    x = 1 or 5

    Check for extraneous solutions.

    √ (2 (1) - 1) + 2 = 1

    √ (1) + 2 = 1

    3 = 1

    No solution

    √ (2 (5) - 1) + 2 = 5

    √ (9) + 2 = 5

    5 = 5

    x = 5
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