Zmija na bajsu
Otkleni vo:
(a) \( \left(-\frac{2.90}{4.40}\right) \cdot \left(-\frac{2.90}{4.40}\right) \cdot \left(\frac{4.40}{1.90}\right) \cdot \left(\frac{4.40}{1.90}\right) \)
(b) \( \left(\frac{3.30}{9.70}\right) \cdot \left(\frac{3.30}{9.70}\right) \cdot \frac{1}{10} \cdot \frac{13}{38 \cdot 38} \)
(c) \( \left(-\frac{9.70}{4.70 \cdot 4.70}\right) \cdot \left(-\frac{9.70}{4.70 \cdot 4.70}\right) - \left(-\frac{6.60}{2.90}\right) \cdot \left(-\frac{6.60}{2.90}\right) \)
(d) \( \frac{1}{6} \cdot \left(\frac{1}{6}\right) \cdot \left(\frac{1}{6}\right) - \frac{1}{6 \cdot 6} \)
(e) \( \frac{1}{6} \cdot \frac{1}{3 \cdot 3} \cdot \frac{8 \cdot 8}{20} \)
(f) \( \frac{1}{3.40} \cdot \left(\frac{5.80}{3}\right) \cdot \left(\frac{5.80}{3}\right) \cdot \frac{10}{4.10} \)
(g) \( \left(\frac{8}{2}\right) \cdot \left(\frac{8}{2}\right) \cdot \frac{6}{5} - \frac{17 \cdot 17}{22} \)
(h) \( \frac{-10 \cdot -10}{10} \cdot \frac{1}{7} - \left(\frac{2}{4}\right) \cdot \left(\frac{2}{4}\right) \)
2. Koji od navedenih izraza ima rezultat jednak nuli?
(a) \( 9^2 \cdot 2.90 \cdot 4.40 - 4.40.5^2 \cdot \left(\frac{1}{2}\right)^2 \)
(b) \( 1.90 \cdot \frac{-3.30^2}{9.70} + \left(\frac{10}{3}\right)^2 \cdot 0.2 \)
(c) \( 13 \cdot \frac{-38^2}{2} + \frac{9.70^2}{4.70^2} \cdot \frac{3}{2} \cdot 6.60 \cdot \frac{-2.90^2}{12} \)
(d) \( (-6)^2 - \frac{-1}{6^2} - (-6)^2 \cdot 6^2 + 3^2 \cdot (-8)^2 - \left(\frac{-20}{2}\right)^2 \)
| x | 1 | 3.40 | 5.80 | 3 | 10 | 4.10 |
| y | 8 | 2 | 6 | 5 | 17 | 22 |
| z = x² - y² |
| a | b | a² - b² | (a - b)² | a² + b² | (a + b)² |
| 10 | 10 | ||||
| 7 | 2 | ||||
| 4 | 6 | ||||
| 11 | 7 | ||||
| -1 | 1 | ||||
| -0.80 | -1 |
(a) \( x = -1, y = 1 \)
(b) \( x = -4, y = 4 \)
(c) \( x = 3, y = 2 \)
(d) \( x = -7, y = -4 \)
(a) \( a = 4, b = 2 \)
(b) \( a = 4.20, b = 6 \)
(c) \( a = 2, b = 0 \)
(d) \( a = 0.60, b = 1.20 \)
(a) \( \left(-\frac{2.90}{4.40}\right) \cdot \left(-\frac{2.90}{4.40}\right) \cdot \left(\frac{4.40}{1.90}\right) \cdot \left(\frac{4.40}{1.90}\right) \)
(b) \( \left(\frac{3.30}{9.70}\right) \cdot \left(\frac{3.30}{9.70}\right) \cdot \frac{1}{10} \cdot \frac{13}{38 \cdot 38} \)
(c) \( \left(-\frac{9.70}{4.70 \cdot 4.70}\right) \cdot \left(-\frac{9.70}{4.70 \cdot 4.70}\right) - \left(-\frac{6.60}{2.90}\right) \cdot \left(-\frac{6.60}{2.90}\right) \)
(d) \( \frac{1}{6} \cdot \left(\frac{1}{6}\right) \cdot \left(\frac{1}{6}\right) - \frac{1}{6 \cdot 6} \)
(e) \( \frac{1}{6} \cdot \frac{1}{3 \cdot 3} \cdot \frac{8 \cdot 8}{20} \)
(f) \( \frac{1}{3.40} \cdot \left(\frac{5.80}{3}\right) \cdot \left(\frac{5.80}{3}\right) \cdot \frac{10}{4.10} \)
(g) \( \left(\frac{8}{2}\right) \cdot \left(\frac{8}{2}\right) \cdot \frac{6}{5} - \frac{17 \cdot 17}{22} \)
(h) \( \frac{-10 \cdot -10}{10} \cdot \frac{1}{7} - \left(\frac{2}{4}\right) \cdot \left(\frac{2}{4}\right) \)
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