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13.16. z =− 2+ 2 3i<br />
; 13.17. z =−1− 3i;<br />
13.18. z = 1− 3i<br />
; 13.19. z = 1+ 3i<br />
; 13.20. z =5+7i.<br />
Ïîäàòè âèðàçè ó âèãëÿä³ äîáóòêó äâîõ ñïðÿæåíèõ êîìïëåêñíèõ<br />
÷èñåë:<br />
13.21. a 2 +b 2 ; 13.22. 0,25+49x 2 ; 13.23. x 2 +5;<br />
13.24. a 4 +b 4 ; 13.25. 7.<br />
Ñïðîñòèòè âèðàçè.<br />
13.26. 5i 2 ; 13.27. 5i 4 ; 13.28. 7i 12 ; 13.29. 21⋅i 100 ;<br />
13.30. 25+9i 2 – i N .<br />
ϳäíåñòè äî ñòåïåíÿ:<br />
13.31. (3 + 4i) 5 ; 13.32. (1 + i) 4 2<br />
; 13.33. ( 3 + i)<br />
;<br />
7<br />
13.34. (1+ i 3) ; 13.35. (1+ i 2) N .<br />
Ðîçâ’ÿçàòè ð³âíÿííÿ<br />
13.36. x 2 –10x + 74 = 0; 13.37. x 2 +10x +74=0;<br />
13.38. x 2 –6x + 18 = 0; 13.39. x 2 –6x +18=0;<br />
13.40. x 2 +2x + 27 = 0; 13.41. 5x 2 –7x +11=0;<br />
13.42. x 2 –2Nx +(N 2 +1)=0.<br />
Ïðèì³òêà. Ïàðàìåòð N îçíà÷ຠ÷èñëî äàòè íàðîäæåííÿ<br />
÷èòà÷à, ÿêîìó ïîòð³áíî âèêîíóâàòè ö³ âïðàâè.<br />
Äîäàòîê 2<br />
Îñíîâí³ ôîðìóëè, ïîçíà÷åííÿ òà âàæëèâ³<br />
ñòàë³<br />
14.1. ÀÐÈÔÌÅÒÈÊÀ<br />
14.1.1. Ñåðåäíº àðèôìåòè÷íå ÷èñåë:<br />
a + a + + a n<br />
.<br />
n<br />
1 2<br />
K<br />
14.1.2. Ñåðåäíº ãåîìåòðè÷íå ÷èñåë:<br />
n<br />
n<br />
( , , , , )<br />
a1⋅a2 ⋅K⋅a a ≥ 0 i = 1 2 K n .<br />
i<br />
14.1.3. Çíàõîäæåííÿ ïðîöåíòà â³ä äàíîãî ÷èñëà a:<br />
a⋅<br />
p<br />
a →100%, x→ p%,<br />
x =<br />
100 .<br />
14.1.4. Çíàõîäæåííÿ ÷èñëà çà éîãî ïðîöåíòîì: íåõàé<br />
p% äåÿêîãî ÷èñëà y äîð³âíþþòü ÷èñëó a, òî<br />
a ⋅ 100<br />
a → p%, y → 100%, y = .<br />
p<br />
14.1.5. Çíàõîäæåííÿ ïðîöåíòíîãî â³äíîøåííÿ äâîõ<br />
÷èñåë a ³ b:<br />
a<br />
%<br />
b ⋅100 .<br />
488 489
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