Fill in each blank so that the resulting statement is true. The restrictions on the variable in the rational equation below are \( \frac{1}{x-2}-\frac{2}{x+3}=\frac{2 x-1}{x^{2}+x-6} \) The restrictions on the variable in the rational equation are \( x \neq \square \) and \( x \neq \square \). (Use ascending order.)

Factorise fully the expression \( 7 t^{2}+2 t-9 \)

Write the following in simplified radical form. \( \sqrt[3]{24 y^{11}} \)

Write the following in simplified radical form. \( \sqrt[4]{y^{5}} \)

\( 3\sqrt {-\frac{1}{8}}(-\frac{8}{9}).(-\frac{27}{2})+(-\frac{1}{3})\div \frac{23}{10} \)

5. Problema de Comida: En una fiesta, hay \( x \) personas. Cada persona trae 3 bocadillos. Si se han traído un total de 27 bocadillos, ¿cuántas personas hay en la fiesta? - Ecuación: \( 3 \mathbf{x}=\mathbf{2 7} \)