1. Zadatak

Izračunajmo broj $x$:

$$x = \frac95 - \frac15 : \left(1-\frac32\right)^2 = \frac95-\frac15:\left(-\frac12\right)^2 = \frac95-\frac15\cdot4 = \frac95-\frac45 = \frac55 = 1.$$

Slično, uporabom formule za kvadrat zbroja, imamo

$$\begin{aligned} y &= \sqrt2+\frac52-\left(\frac{\sqrt2}{2}+1\right)^2 = \sqrt2+\frac52-\left(\frac12+\sqrt2+1\right) \\ &= \sqrt2+\frac52-\frac12-\sqrt2-1 = 1. \end{aligned}$$

Dakle, vrijedi da je $x = y$.