Pre Calc
posted by Dan .
√(x+2) 7 =√(x+9)

are we solving?
If so, then ....
square both sides
x+2  14√(x+2) = x+9
 14√(x+2) = 7
 2√(x+2) = 1
(at this point I can tell that this cannot have a solution.
Can you see why? )
but let's carry on
square again
4(x+2) = 1
4x = 7
x = 7/4
check:
if x=7/4
LS = √(7/4 + 2)  7
= √(1/4)  7
= 1/2  7 = 13/2
RS = √(7/4+9) = √29/4) ≠ LS
no solution