SOLUTION: Solve for x: sqrt x-6 + sqrt x+6 = 6 a. 3 b. 16 c. 10 d. Cannot be solved This is what I have but it is not an answer. sqrt x-6 = sqrt x+6 +6 (sqrt x-6)^2 = (sq

Question 141322: Solve for x:
sqrt x-6 + sqrt x+6 = 6
a. 3
b. 16
c. 10
d. Cannot be solved
This is what I have but it is not an answer.
sqrt x-6 = sqrt x+6 +6
(sqrt x-6)^2 = (sqrt x+6+6)^2
(sqrt x+6)^2 + 2 * sqrt x+6*6+6^2
x+6 + 2 sqrt x+6 + 6 + 36
(sqrt x-6)^2 = (sqrt x+6+6)^2
x-6 = x + 6 + 2sqrt x+6+36
x-6 + x + 42 + 2sqrt x+6
2x - 6 = 2sqrt x+6
4x^2 + 36x - 36 + 4 (x+6)
4x^2 + 36x - 36 = 4x + 24
4x^2 - 32x = 0
4x(x - 8x) = 0
4x = 0 and x - 8 = 0
x = 0 x = 8
Found 2 solutions by oscargut, stanbon:
Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!
Solve for x:
sqrt x-6 + sqrt x+6 = 6
This is what I have but it is not an answer.
sqrt x-6 = sqrt x+6 +6 (is wrong)
correct is: sqrt(x-6)=6-sqrt(x+6)
the procedure is good

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve for x:
sqrt (x-6) + sqrt (x+6) = 6
a. 3
b. 16
c. 10
d. Cannot be solved
This is what I have but it is not an answer.
sqrt x-6 = sqrt x+6 +6
-----------------
Your 2nd line should be:
sqrt(x-6) = 6 - sqrt(x+6)
Now square both sides to get:
x-6 = 36-12sqrt(x+6)+x+6
-12 = 36-12sqrt(x+6)
-1 = 3 - sqrt(x+6)
-4 = sqrt(x+6)
Square both sides to get:
16 = x+6
x = 10
Checking in sqrt (x-6) + sqrt (x+6) = 6 :
sqrt(4) + sqrt(16) = 6
2 + 4 = 6
6=6
=================
Cheers,
Stan H.

===========================
RELATED QUESTIONS
This is kind of a long one (three different parts) but I appreciate the help! Multiply (answered by ankor@dixie-net.com)
Hi, I solved this quadratic equation but was not sure how to finalize my answer. I... (answered by stanbon)
Use rational exponents to write x^1/5*y^1/3*z^1/6 as a single radical expression. I... (answered by Fombitz,jim_thompson5910)
Solve these problems? a.) {{{sqrt 98 - 6 sqrt 72 + sqrt 50}}} b.) {{{sqrt 8x^3 - x... (answered by solver91311)
How do i go about factoring: sqrt(128) I looked online on how to solve radicals and i... (answered by oscargut)
Solve the system: x^2+y^2=63 x^2-3y^2=27 (A) (3 sqrt 6, 3) (3 sqrt 6, -3) (-3 sqrt... (answered by mukhopadhyay)
for positive real numbers x,y,z, what is the equivalent to x^1/2 y^2/3 z^5/6? a. 3... (answered by richwmiller,jim_thompson5910)
Hi! Here's my question: Solve: {{{6=3x^2}}} Here's what i did: {{{6=3x^2}}} (answered by jim_thompson5910)
Solve for x: log(x-3)= -log (x) + log (2) Answer Choices: A) 5/2 B) (3+sqrt(17))/2 C) (answered by edjones)