SOLUTION: Please help!!! I am trying to solve this problem and I'm stuck. the square root of (x+6) + 1 = the square root of (2x-11) Thanks in Advance!

Question 162836: Please help!!!
I am trying to solve this problem and I'm stuck.
the square root of (x+6) + 1 = the square root of (2x-11)
Thanks in Advance!
Answer by joecbaseball(37) (Show Source): You can put this solution on YOUR website!
Don't make this harder than it is. Remember, to eliminate square roots, you have to square terms if they don't drop out in the course of doing the problem. In this case, you have to square both sides two times. This is how it is done:
Your problem is:
Sqrt (x + 6) + 1 = sqrt (2x � 11)
Square both sides and get:
(x + 6) + 2(sqrt (x + 6)) + 1 = (2x � 11)
Now simplify:
x + 7 + 2(sqrt (x + 6)) = 2x � 11
Subtract an x and 7 from both sides to get the sqrt by itself. This gives you:
2(sqrt(x + 6)) = x � 18
Now square both sides again. This gives you:
4(x + 6) = (x � 18)^2
Now, distribute on the left hand side and expand on the right hand side. This gives you:
4x + 24 = x^2 - 36x + 324
Now get all terms on one side and set equation equal to zero. This gives you:
0 = x^2 � 40x + 300 OR x^2 � 40x + 300 = 0. These are the same, but most students prefer the second one.
Now, either factor or use the quadratic formula to get x = 10 and x = 30

RELATED QUESTIONS
Please help. I am stuck and do not know how to solve this equation. square root of 16... (answered by solver91311)

Please show me how to solve a square root. I don't understand. Thanks My homework... (answered by stanbon)

Please show me how to solve a square root. I don't understand. Thanks My homework... (answered by bucky)

hi, I am trying to help my child with homework and have forgotten how to solve radicals.... (answered by scott8148)

I need help with this problem. I know that I am suppose to multiple both sides with the... (answered by stanbon)

i have been trying to solve the following problem, but have not been successful at doing... (answered by vleith)

square root of 11(square root of 11 + x square root 22) How do i do this kind of... (answered by bucky)

Please solve this problem ASAP. I have a test tomorrow and I am doing extra practice to... (answered by josgarithmetic,Alan3354,rothauserc)

I need help simplifying this problem 5/i where i=square root of negative 1 So far, I... (answered by solver91311)