SOLUTION: I need to solve the square root of 19-3x = x - 3 and I'm having some trouble. I'm coming up w/ the square root of 5.5, but I don't feel like that's correct. Could you please hel

Algebra ->  Radicals -> SOLUTION: I need to solve the square root of 19-3x = x - 3 and I'm having some trouble. I'm coming up w/ the square root of 5.5, but I don't feel like that's correct. Could you please hel      Log On


   



Question 1040369: I need to solve the square root of 19-3x = x - 3 and I'm having some trouble.
I'm coming up w/ the square root of 5.5, but I don't feel like that's correct. Could you please help clarify?
Thank you!

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
I need to solve the square root of 19-3x = x - 3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

sqrt%2819-3x%29 = x-3.

Square both sides:

19 - 3x = %28x-3%29%5E2,

19-3x = x%5E2+-+6x+%2B+9,

x%5E2+-+3x+-+10 = 0.

Factor

(x+2)*(x-5) = 0.

The roots are x = -2 and x = 5.

Check each of the two roots for the original equation.