9) Resolver las siguientes ecuaciones a. \( 4(x-2)+8=5 x-3 \)

\( 117)(5 \sqrt{2}+3)(5 \sqrt{2}-3)-(14 \sqrt{3}-1)-7(\sqrt{1,5}-\sqrt{2})^{2} \).

(116) \( 3(\sqrt{3}+\sqrt{6})^{2}-(\sqrt{14}+\sqrt{7})^{2}-6 \)

i) \( \frac{1}{x-1}+\frac{1}{x+1}=\frac{2}{x^{2}-1} \)

Compute each sum below. If applicable, write your answer as a fraction. \( 2+2(-2)+2(-2)^{2}+\ldots+2(-2)^{7}=\square \) \( \sum_{k=1}^{9}\left(\frac{1}{3}\right)^{k}=\square \)

Use the Rational Root Theorem to list all possible rational roots of the polynomial \( 2x^{3} - 6x^{2} + 3x - 9 \).