1. a) Stabiliti valoarea de adevăr a propozitiei \( p \), unde: \[ p:, \exists x \in Z \text {, astfel încât } 4 x^{2}+3 x-1=0 \text { " } \] b) Stabilití mulțmea de adevăr pentru predicatul: \[ p(x):, 6 x^{2}-5 x+1=0, x \in Z " \]

5. Separen en términos y resuelvan. a. \( \left(-\frac{4}{3}+\frac{1}{6}\right)-\left(-\frac{3}{2}\right)^{-2}+\sqrt[3]{\left(\frac{3}{4}+\frac{1}{8}\right)-} \) b. \( \left(\frac{3}{2}-\frac{1}{2}\right)^{2}+\sqrt[3]{-\frac{1}{64}}-0.5= \) c. \( \sqrt[3]{1-\frac{7}{8}}-\left(-\frac{2}{5}+\frac{1}{10}\right)^{-4}+0.3- \) d. \( -\left(\frac{8}{5}-\frac{6}{15}\right)-\sqrt[3]{1-\frac{31}{32}}+\left(\frac{7}{5}\right)^{2}= \)

ii) \( \frac{4 x^{2}+3 x+7}{x+1} \)

\( \therefore \sqrt { x } ( x ^ { \frac { 5 } { 2 } } + x ^ { 2 } + 5 ) \)

\( \left\{ \begin{array} { l } { 2 x y - y = 7 } \\ { x - 5 y - 2 } \end{array} \right. \)

November 2018 ZIMSEC Paper 1 Solve the following simultancous equations: \[ \begin{array}{l}e^{2 x+y}=1 \\ 4 x-3 y=10\end{array} \]