Question 158
a) Solve the equations $9^{x} - 4 \cdot 5^{2x-3} = 25^{x-1} + 2 \cdot 3^{2x-3}$ and $\sqrt{x+1+\sqrt{x+1+\sqrt{x+3}}} = \sqrt{x+3}$.
b) Write the general form of the polynomial with leading coefficient 2 whose zeros are equal to the solutions of the equations from a).
b) Write the general form of the polynomial with leading coefficient 2 whose zeros are equal to the solutions of the equations from a).