Alg3.5.1

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Solve \sqrt{x+2}=x-4\,

\left(\sqrt{x+2}\right)^2=(x-4)^2\,

x+2=x^2-8x+16\,

x^2-9x+14=0\,

(x-7)(x-2)=0\,

x=7\, and x=2\,

Check all your answers and you'll see that only x=7\, works.

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