Hobotica ispod deke
Kvadriranje
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<summary>Upute:
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<img src="https://www.mathkiss.com/uploads/octo3.jpg" width="300"/>
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<p>1. Izračunaj:</p>
<p> (a) §§V1(2,10,2)§§ \( \frac{2}{9} - \frac{5}{6} \div \frac{1}{2} \times 3 \div \frac{2}{4} \)</p>
<p> (b) §§V2(1,7,2)§§ \( \left( \frac{2}{2} - \frac{2}{3} \right) \div \left( \frac{9}{14} \div \frac{6}{7} \right) \)</p>
<p> (c) §§V3(-5,3,2)§§ \( \left( \frac{2}{3} \div \frac{3}{4} \right) + \left( \frac{9}{16} \times \frac{4}{9} \right) \)</p>
<p>2. Izračunaj:</p>
<p> (a) §§V4(1,9,2)§§ \( \frac{9}{9} + \frac{6}{1} - \frac{4}{3} \)</p>
<p> (b) §§V5(5,20,5)§§ \( 12 \times 12 - 13 \times 10 + \frac{33}{10} \times 5 - 10 \)</p>
<p> (c) §§V6(3,9,2)§§ \( \left( \frac{6}{3} \times 15 \right) - \left( \frac{3}{9} \div 10 \right) \)</p>
<p> (d) §§V7(2,11,1)§§ \( \left( \frac{2}{11} \right)^3 \)</p>
<p> (e) §§V8(1,10,1)§§ \( \left( \frac{2}{10} \right)^5 \cdot 2 \)</p>
<p> (f) §§V9(2,5,1)§§ \( 2^2 - \frac{86}{89} \)</p>
<p>3. Kvadriraj:</p>
<p> (a) §§V10(3,15,3)§§ \( \left( \frac{6}{1} \div 2 \right)^2 - x \)</p>
<p> (b) §§V11(1,9,2)§§ \( \left( \frac{3}{5} + \frac{b}{a} \right)^2 \)</p>
<p> (c) §§V12(4,12,4)§§ \( \left( \frac{2}{1} \div \frac{xy}{2} \right)^2 \)</p>
<p>4. Zapiši u obliku umnoška:</p>
<p> (a) §§V13(1,10,2)§§ \( 4x + 4x^2 \)</p>
<p> (b) §§V14(2,8,2)§§ \( 2^2 \times 9 - 13 + 1 \)</p>
<p> (c) §§V15(-5,5,5)§§ \( 16x - 25 \)</p>
<p>5. Djelomično korjenuj:</p>
<p> (a) §§V16(2,20,2)§§ \( \sqrt{128} \)</p>
<p> (b) §§V17(1,10,1)§§ \( \sqrt{9 \times 50} \)</p>
<p>6. Djelomično korjenuj pa izračunaj:</p>
<p> (a) §§V18(3,9,3)§§ \( \sqrt{72} - \sqrt{50} + 2 \)</p>
<p>7. Racionaliziraj nazivnik:</p>
<p> (a) §§V19(1,6,1)§§ \( \frac{3}{\sqrt{6}} \)</p>
<p> (b) §§V20(2,4,1)§§ \( \frac{2}{\sqrt{3} - 2} \)</p>
<p>8. Na brojevnom pravcu označi točke koje pripadaju brojevima:</p>
<p> (a) §§V21(1,4,1)§§ \( \sqrt{2}, \sqrt[2]{2}, \sqrt[2]{2}-, \sqrt[3]{2}+ \)</p>
<p> (b) §§V22(7,20,3)§§ \( \sqrt{7}, \sqrt{10}, \sqrt{17}, \sqrt{8} \)</p>
<p>9. Nacrtaj graf funkcije:</p>
<p> (a) §§V23(-3,3,1)§§ \( f(x) = x^2 - x \)</p>
<p> (b) Odredi koje točke pripadaju grafu funkcije:</p>
<p>  (i) §§V24(-3,3,2)§§ \( A(-3, -3), B\left(\frac{20}{5}, \frac{-7}{2}\right), C\left(\frac{11}{7}, \frac{-7}{2}+\right) \)</p>
<p>10. Sredi izraze te odredi koji od slijedećih izraza ima racionalnu, a koji iracionalnu vrijednost:</p>
<p> (a) §§V25(1,5,1)§§ \( \left( \sqrt{2} - \sqrt{5} \right) \times \left( \sqrt{2} + \sqrt{5} \right) \)</p>
<p> (b) §§V26(5,20,5)§§ \( \sqrt{25} - \sqrt{169} \div 2 \)</p>
<p> (c) §§V27(3,9,3)§§ \( \left( \sqrt{15} + \sqrt{5} \right) \times \left( \sqrt{15} - \sqrt{2} \right) \)</p>
<p>11. Koje od slijedećih jednadžbi imaju rješenje u skupu Z:</p>
<p> (a) §§V28(1,4,1)§§ \( 4x - 1 = 6 - 2x \)</p>
<p> (b) §§V29(2,5,1)§§ \( 15x + 3 = 2x - 2 \)</p>
<p>12. Zapiši u obliku decimalnog broja:</p>
<p> (a) §§V30(1,4,1)§§ \( \frac{100}{125}, \frac{12}{1.1}, \frac{25}{7}, \frac{9}{7} \)</p>
<p>* dodatni zadatak</p>