Posted by **Dan** on Sunday, January 23, 2011 at 10:48pm.

√(x+2) -7 =√(x+9)

- Pre Calc -
**Reiny**, Sunday, January 23, 2011 at 11:19pm
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

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