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sapphers

  • 3 years ago

(sqrt2x+13) - 15 = x

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  1. Mertsj
    • 3 years ago
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    Add 15 to both sides and then square both sides.

  2. sapphers
    • 3 years ago
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    I'm still kind of confused

  3. Mertsj
    • 3 years ago
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    Did you add 15 to both sides?

  4. sapphers
    • 3 years ago
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    Yeah, I did.

  5. Mertsj
    • 3 years ago
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    What did you get?

  6. sapphers
    • 3 years ago
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    \[\sqrt{2x+13} = x + 15\]

  7. Mertsj
    • 3 years ago
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    What do you get if you square the left side?

  8. Mertsj
    • 3 years ago
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    \[(\sqrt{2x=13})^2= ?\]

  9. Mertsj
    • 3 years ago
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    Sorry. I meant + 13 not =

  10. TheViper
    • 3 years ago
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    \[\large{\sqrt{2x+13}-15=x}\]\[\large{\sqrt{2x+13}=x+15}\]Now squaring both sides we get\[\large{2x+13=x^2+225+30x}\]

  11. Mertsj
    • 3 years ago
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    You must not square each side. So now it will look like this: \[(\sqrt{2x+13})^2=(x+15)^2\]

  12. Mertsj
    • 3 years ago
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    ok. Too many cooks. Good bye

  13. TheViper
    • 3 years ago
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    bye :)

  14. sapphers
    • 3 years ago
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    Thanks for leaving I guess... @Mertsj @TheViper are you leaving too or saying goodbye to the other guy?

  15. TheViper
    • 3 years ago
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    no

  16. sapphers
    • 3 years ago
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    Okay haha

  17. TheViper
    • 3 years ago
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    \[\large{2x+13=x^2+225+30x}\]\[\large{\implies x^2+30x-2x+225-13=0}\]\[\large{\implies x^2+28x+212=0}\]Now solve it by factoring :)

  18. sapphers
    • 3 years ago
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    You two were both telling me different things. How do I know that yours it right?

  19. TheViper
    • 3 years ago
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    We are telling same but concentrate on mine because I m here to help you :)

  20. Mertsj
    • 3 years ago
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    It won't factor. You'll have to use the quadratic formula.

  21. sapphers
    • 3 years ago
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    I tried factoring and it didn't work. So I plug x^2 + 28x + 212 into the quadratic formula?

  22. Mertsj
    • 3 years ago
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    yes

  23. TheViper
    • 3 years ago
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    yup :)

  24. TheViper
    • 3 years ago
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    I think it should be \(-14+2i\) \(\&\) \(-14-2i\)

  25. TheViper
    • 3 years ago
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    Check ur calculation again :)

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