1. a) Stabiliti valoarea de adevăr a propozitiei \( p \), unde: \[ p:, \exists x \in Z \text {, astfel încât } 3^{x^{2}-1}=27 " \] b) Stabiliti mulțimea de adevăr pentru predicatul: \[ p(x):,|2 x-3|=5, x \in R " \]

Find all the zeros of the quadratic function. \[ y=x^{2}-6 x-16 \] If there is more than one zero, separate them with commas. If there are no zeros, click on "None". zero(s): \( \square \)

г) \( \log _{\frac{1}{5}}^{2}\left(x^{2}+2 x+1\right)-31 \log _{\frac{1}{5}} \frac{x+1}{5}+15<0 \)

Multiply. \[ (3 a+1)(a+7) \] Simplify your answer. (1.

Question 23 Simplify this expression, writing the answer with a rational denominator. \( \frac{1}{\sqrt{3}} \times \frac{1}{\sqrt{3}-1}=\frac{\square+\sqrt{3}}{\square} \)

Solve. \[ -3 w(w+1)(w+2)=0 \] (If there is more than one solution, separate them with commas.)