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anonymous

  • one year ago

What is the solution to equation, square root of (2x+8) -6=4

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  1. anonymous
    • one year ago
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    Helppppp

  2. anonymous
    • one year ago
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    Does it look like this? \[\large \sqrt{2x+8}-6=4\]

  3. anonymous
    • one year ago
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    yes!

  4. anonymous
    • one year ago
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    Well the first step is to get the 6 to the other side. Can you do that?

  5. anonymous
    • one year ago
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    yes you add it to the 4 to get 10. but I have no idea what to do after that

  6. anonymous
    • one year ago
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    So now it will look like this \[\large \sqrt{2x+8}=10\] So we're going to get x out of the square root by squaring both sides. So \[\large \sqrt{2x+8}^{2}=10^{2}\]

  7. anonymous
    • one year ago
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    so is it going to be, (2x+8)(2x+8)=20?

  8. anonymous
    • one year ago
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    No. \[\large \sqrt{x}^{2} = x\] So \[\large \sqrt{2x+8}^{2} = 2x+8\] And \[\large 10^{2}=10 \times 10\]

  9. anonymous
    • one year ago
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    So 2x+8=100. and then you get ride of the 8 by subtracting on the other side and the divide by 2. would the answe be x=46?

  10. anonymous
    • one year ago
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    Yes, that would be it. Good job :)

  11. anonymous
    • one year ago
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    Thank you!! (:

  12. anonymous
    • one year ago
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    \[\huge \color{aqua}N\color{fuchsia}o \space \color{lime}P \color{orange}r \color{blue}o \color{maroon}b \color{red}l \color{olive}e \color{purple}m \ddot\smile \]

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spraguer (Moderator)
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