## anonymous 5 years ago need help solving a radical equation!

1. anonymous

$\sqrt{51+14w}=w+6$

2. anonymous

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

oops, that should be -15 not -21

4. anonymous

Which will then factor. No quadratic formula needed :)

5. anonymous

you get (w-5)(w+3)=0 So w = 5 and -3

6. anonymous

Thank you so much! What exactly was the ^ ? supposed to be the radical sign maybe?

7. anonymous

^ is just used to show something raised to a power.

8. anonymous

gotcha! THanks :)