Page 21 - Bangladesh_classwiz_BOOK2018_rev_Neat

hw` ‡Kv‡bv msL¨vi c~‡e© ‡Kv‡bv msL¨v wb‡`©kK cÖZxK bv _v‡K Zvn‡j †mB msL¨vwU K¨vjKz‡jU‡i †h msL¨v c×wZ
wbe©vwPZ Av‡Q †mB c×wZi msL¨v wn‡m‡e we‡ewPZ n‡e| †hgb Dc‡ii Z…Zxq w¯Œ‡b 17 16 + 31 Gi †hvMdj
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†n·v‡Wwmgvj c×wZ‡ZB n‡e|

Avevi Lye mn‡RB †h‡Kv‡bv evBbvix msL¨vi †hvM, we‡qvM, ¸Y I fvM K¨vjKz‡jU‡ii gva¨‡g †ei Kiv hvq| wb‡Pi
w¯Œ‡b evBbvix msL¨vi wKQz wnmve †`Lv‡bv n‡jv-

1.12 RwUj msL¨v

2
2
‡Kv‡bv ev¯Íe msL¨vi eM© FYvZ¥K n‡Z cv‡i bv| †hgb + 3 = 0, GLv‡b = −3, hv m¤¢e bq| mgxKiYwUi
ev¯Íe msL¨vq ‡Kv‡bv mgvavb †bB| GiKg mgm¨v †_‡K RwUj ev KvíwbK msL¨vi D™¢e| D”PZi MwY‡Zi wewfbœ
kvLvq RwUj msL¨vi e¨envi †ek ¸iæZ¡c~Y©|

2
2
− − 20 = 0 mgxKiYwUi mgvavb Ki‡j Gi gvb cvIqv hvq 5 I −4 hv ev¯Íe msL¨v| wKš‘ +
2
1 = 0 mgxKiYwU mgvav‡bi †Póv Ki‡j Avgiv cvB = −1 ev = ±√−1, hv KvíwbK A_©vr mgxKiYwUi
ev¯Íe gv‡bi ‡Kv‡bv mgvavb †bB| KviY ‡Kv‡bv ev¯Íe msL¨vi eM© FYvZ¥K n‡Z cv‡i bv| weL¨vZ MwYZwe` Aqjvi

GB Aev¯Íe ev KvíwbK msL¨v‡K Øviv m~wPZ K‡ib| A_©vr √−1 = , GLv‡b n‡jv imaginary k‡ãi cÖ_g
2
Aÿi| ¯úóZ = −1.
K¨vjKz‡jU‡i Calulate mode-G GB gvb †ei Kivi †Póv Ki‡j Math ERROR cÖ`k©b Ki‡e| hv wb‡Pi w¯Œ‡b
†`Lv‡b n†jv-

wKš‘ w2 e¨envi K‡i K¨vjKz‡jUi complex mode-G wb‡j ‡Kv‡bv ERROR cvIqv hv‡ebv|

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