Question

need help solving a radical equation!

Answer 1

\[\sqrt{51+14w}=w+6\]

Answer 2

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

Answer 3

oops, that should be -15 not -21

Answer 4

Which will then factor. No quadratic formula needed :)

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

gotcha! THanks :)