SOLUTION: 18.) Find the real solution of the equation: (sqrt)24 - 2x = x a. The solution set is___________ __. Or b. There is no solution.

Algebra ->  Radicals -> SOLUTION: 18.) Find the real solution of the equation: (sqrt)24 - 2x = x a. The solution set is___________ __. Or b. There is no solution.      Log On


   

Question 493669: 18.)
Find the real solution of the equation:
(sqrt)24 - 2x = x
a. The solution set is______________. Or
b. There is no solution.
Answer by MRperkins(300) About Me  (Show Source):
You can put this solution on YOUR website!
simplify sqrt(24) to 2*sqrt(6)
move -2x to the right side and get
2*sqrt(6)=3x
divide both sides by 3
%282%2Asqrt%286%29%29%2F3=x
.
.
You can also write this as x=sqrt%2824%29%2F3
This was originally written wrong. The original problem should have been:
sqrt%2824-2x%29=x
square each side
24-2x=x%5E2 or 24-2x=-x%5E2
x=-6, x=4
check solutions in original equation. x=-6 does not work. x=4 works
so the only real solution is x=4