Zmija na bajsu
Otkleni vo:
(a) \( \left(-\frac{-2.90}{4.30}\right) \cdot \left(-\frac{-2.90}{4.30}\right) \cdot \left(\frac{4.90}{1.40}\right) \cdot \left(\frac{4.90}{1.40}\right) \)
(b) \( \left(\frac{10}{1.50}\right) \cdot \left(\frac{10}{1.50}\right) \cdot \frac{1}{8} \cdot \frac{10}{15 \cdot 15} \)
(c) \( \left(-\frac{-4.20}{3 \cdot 3}\right) \cdot \left(-\frac{-4.20}{3 \cdot 3}\right) - \left(-\frac{7.80}{3.20}\right) \cdot \left(-\frac{7.80}{3.20}\right) \)
(d) \( \frac{1}{3} \cdot \left(\frac{1}{5}\right) \cdot \left(\frac{1}{5}\right) - \frac{1}{5 \cdot 5} \)
(e) \( \frac{1}{2} \cdot \frac{1}{9 \cdot 9} \cdot \frac{2 \cdot 2}{20} \)
(f) \( \frac{6}{1.30} \cdot \left(\frac{9.50}{6}\right) \cdot \left(\frac{9.50}{6}\right) \cdot \frac{3}{3.40} \)
(g) \( \left(\frac{10}{2}\right) \cdot \left(\frac{10}{2}\right) \cdot \frac{10}{2} - \frac{16 \cdot 16}{26} \)
(h) \( \frac{-12 \cdot -12}{5} \cdot \frac{1}{6} - \left(\frac{8}{10}\right) \cdot \left(\frac{8}{10}\right) \)
2. Koji od navedenih izraza ima rezultat jednak nuli?
(a) \( 6^2 \cdot -2.90 \cdot 4.30 - 4.90.5^2 \cdot \left(\frac{1}{2}\right)^2 \)
(b) \( 1.40 \cdot \frac{-10^2}{1.50} + \left(\frac{8}{3}\right)^2 \cdot 0.2 \)
(c) \( 10 \cdot \frac{-15^2}{2} + \frac{-4.20^2}{3^2} \cdot \frac{3}{2} \cdot 7.80 \cdot \frac{-3.20^2}{12} \)
(d) \( (-3)^2 - \frac{-1}{5^2} - (-5)^2 \cdot 2^2 + 9^2 \cdot (-2)^2 - \left(\frac{-20}{2}\right)^2 \)
| x | 6 | 1.30 | 9.50 | 6 | 3 | 3.40 |
| y | 10 | 2 | 10 | 2 | 16 | 26 |
| z = x² - y² |
| a | b | a² - b² | (a - b)² | a² + b² | (a + b)² |
| 12 | 5 | ||||
| 6 | 8 | ||||
| 10 | 8 | ||||
| 11 | 10 | ||||
| 0 | -1 | ||||
| -0.60 | -2.50 |
(a) \( x = -2, y = 2 \)
(b) \( x = -5, y = 3 \)
(c) \( x = 3, y = 3 \)
(d) \( x = -5, y = -4 \)
(a) \( a = 5, b = -2 \)
(b) \( a = 1.90, b = 3 \)
(c) \( a = 3, b = 0 \)
(d) \( a = 1, b = 1.20 \)
(a) \( \left(-\frac{-2.90}{4.30}\right) \cdot \left(-\frac{-2.90}{4.30}\right) \cdot \left(\frac{4.90}{1.40}\right) \cdot \left(\frac{4.90}{1.40}\right) \)
(b) \( \left(\frac{10}{1.50}\right) \cdot \left(\frac{10}{1.50}\right) \cdot \frac{1}{8} \cdot \frac{10}{15 \cdot 15} \)
(c) \( \left(-\frac{-4.20}{3 \cdot 3}\right) \cdot \left(-\frac{-4.20}{3 \cdot 3}\right) - \left(-\frac{7.80}{3.20}\right) \cdot \left(-\frac{7.80}{3.20}\right) \)
(d) \( \frac{1}{3} \cdot \left(\frac{1}{5}\right) \cdot \left(\frac{1}{5}\right) - \frac{1}{5 \cdot 5} \)
(e) \( \frac{1}{2} \cdot \frac{1}{9 \cdot 9} \cdot \frac{2 \cdot 2}{20} \)
(f) \( \frac{6}{1.30} \cdot \left(\frac{9.50}{6}\right) \cdot \left(\frac{9.50}{6}\right) \cdot \frac{3}{3.40} \)
(g) \( \left(\frac{10}{2}\right) \cdot \left(\frac{10}{2}\right) \cdot \frac{10}{2} - \frac{16 \cdot 16}{26} \)
(h) \( \frac{-12 \cdot -12}{5} \cdot \frac{1}{6} - \left(\frac{8}{10}\right) \cdot \left(\frac{8}{10}\right) \)
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