SOLUTION: can you please check this for me? i am solving equation for x 2(x-5)^2=3 (x-5)^2=3/2 x-5=sqrt{{{3/2}}}=sqrt{{{6}}}/3 x=5sqrt{{{6}}}/3 x=15/3sqrt{{{6}}}/3 x=15sqrt{{{6}}}/3

[First of all, the triple braces (three of these { before
and three of these } after) can be placed around the entire 
equations, including the sqrt's] : 

can you please check this for me? i am solving 
equation for x




The next step should have ± before
the square root, because there are
TWO square roots of positive numbers,
not just one. You also should have a
2 on the bottom of the last fraction,
not a 3

 = ± = ±

You also went wrong in the next step:
You got:  

That's wrong, other than just the wrong
denominator 3 instead of 2. You ADD 5 to 
both sides. You don't MULTIPLY.
That step should be:

 

Edwin