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Math Help - Find all real solutions- Please help

  1. #1
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    Post Find all real solutions- Please help

    Hi! I was working on my homework and got stuck!

    My problem says to "Find all real solutions for-

    square root of (x+3) plus the square root of (xt8) = 1

    I know that I need to isolate a radical first so I did-

    square root of (x+3) = 1 minus square root of (x+8)

    And then I think I need to square both sides, but I'm not sure where to go from there.

    Thanks for your help (in advance!)

    Ashley
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  2. #2
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    Quote Originally Posted by aperkin2 View Post
    Hi! I was working on my homework and got stuck!

    My problem says to "Find all real solutions for-

    square root of (x+3) plus the square root of (xt8) = 1

    I know that I need to isolate a radical first so I did-

    square root of (x+3) = 1 minus square root of (x+8)

    And then I think I need to square both sides, but I'm not sure where to go from there.

    Thanks for your help (in advance!)

    Ashley
    Yes, square both sides of that to get x+ 3= 1- 2\sqrt{x+8}+ x+ 8 which can be simplified to 2\sqrt{x+ 8}= 6. Now square again. Be sure to check your solution in the original equation. It is quite possible that a problem like this does not have a solution.
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