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8 September, 03:25

I would really appreciate if someone were to answer this and show their process! I've already tried 'no solutions', 'all real numbers', and x=0, however, none of them were correct.

Solve the equation. (remember about domain).

sqrt (x^2-10x+25) = x-5

+2
Answers (1)
  1. 8 September, 03:41
    0
    Input:

    sqrt (x^2 - 10 x + 25) = x - 5

    Plot:

    Plot

    Alternate forms:

    sqrt ((x - 5) ^2) + 5 = x

    sqrt ((x - 5) ^2) = x - 5

    sqrt ((x - 5) ^2) - x = - 5

    Alternate form assuming x is positive:

    x = abs (x - 5) + 5

    Number line:

    Number line

    Integer solution:

    x>=5
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