\(\sqrt{x^2-10x+25}-\sqrt{x^2+6x+9}=2\)
\(\sqrt{x^2-2.x.5+5^2}-\sqrt{x^2+2.x.3+3^2}=2\)
\(\sqrt{\left(x-5\right)^2}-\sqrt{\left(x+3\right)^2}=2\)
\(\left|x-5\right|-\left|x+3\right|=2\)
5 - x - x + 3 = 2
-2x = -6
x = 3
\(\sqrt{x^2-10x+25}-\sqrt{x^2+6x+9}=2\)
\(\sqrt{x^2-2.x.5+5^2}-\sqrt{x^2+2.x.3+3^2}=2\)
\(\sqrt{\left(x-5\right)^2}-\sqrt{\left(x+3\right)^2}=2\)
\(\left|x-5\right|-\left|x+3\right|=2\)
5 - x - x + 3 = 2
-2x = -6
x = 3
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