Solve the equation and check for extraneous solutions. Click to see question!

Question

anonymous · Answer

$$\left( -2-x \right)^{0.5}-x=2$$

anonymous · Answer

x=-2

anonymous · Answer

(-2-x)^0.5-x = 2
sqrt(-2-x) = x +2

-2-x = x^2+4x+4
x^2+5x+6 = 0

Factor:
(x+3)(x+2) = 0
x = -2 or x = -3

(-2-x)^0.5-x = 2
Check x = -2:
(-2+2)^(0.5) +2 = 2
sqrt(0) + 2 = 2
2 = 2

Check x = -3
(-2+3)^(0.5) + 3 = 2
sqrt(1)+3 = 2
4 = 2
False
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Only solution: x = -2

anonymous · Answer

understand?

anonymous · Answer

Yeah I'm getting there! Appreciate your help!

anonymous · Answer

math is very simple ;) only logic. :)

anonymous · Answer

Yeah but can you answer my other question cause your the only that explain it good and nobody else can answer it.

anonymous · Answer

Pretty pleaseee!