need help solving a radical equation!

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need help solving a radical equation!

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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\[\sqrt{51+14w}=w+6\]
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
oops, that should be -15 not -21

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Which will then factor. No quadratic formula needed :)
you get (w-5)(w+3)=0 So w = 5 and -3
Thank you so much! What exactly was the ^ ? supposed to be the radical sign maybe?
^ is just used to show something raised to a power.
gotcha! THanks :)

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