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anonymous

  • 5 years ago

need help solving a radical equation!

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  1. anonymous
    • 5 years ago
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    \[\sqrt{51+14w}=w+6\]

  2. anonymous
    • 5 years ago
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    square both sides: 51 +14 w = w^2 + 12 w + 36 Then bring all the terms to the same side w^2-2w-21 = 0 Then use the quadratic equation

  3. anonymous
    • 5 years ago
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    oops, that should be -15 not -21

  4. anonymous
    • 5 years ago
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    Which will then factor. No quadratic formula needed :)

  5. anonymous
    • 5 years ago
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    you get (w-5)(w+3)=0 So w = 5 and -3

  6. anonymous
    • 5 years ago
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    Thank you so much! What exactly was the ^ ? supposed to be the radical sign maybe?

  7. anonymous
    • 5 years ago
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    ^ is just used to show something raised to a power.

  8. anonymous
    • 5 years ago
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    gotcha! THanks :)

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