18 Fil the value of 4 + 5 ਹੈ 19. Fi...
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18 Fil the value of 4 + 5 ਹੈ 19. Find the value of 2 + 5- +3 |

JEE/Engineering Exams
Maths
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( 4+5left(-frac{1}{2}+frac{i sqrt{3}}{2}right)^{334}+3left(-frac{1}{2}+frac{0}{2}right)^{365} ) vop know that ( w=-frac{1}{2}+i frac{sqrt{3}}{3} ) Now ( 9 w^{3}=1 ) ( 4+5(10)^{334}+3(w)^{365} ) ( 4+5left(w^{3} 3right)^{10} cdot w^{1}+3left(w^{3}right)^{12} cdot w^{2} ) ( 4+5 w+3 w^{2} ) ( 4+5left(-frac{1}{2}+frac{1}{2} frac{sqrt{3}}{2}right)+3left(-frac{1}{2}-frac{j sqrt{3}}{2}right) ) ( 4-frac{5}{2}+5 i frac{sqrt{3}}{2} div frac{3}{2}-3 frac{sqrt{3}}{2} ) ( =frac{9-5-3}{2}+frac{5 i sqrt{3}-3 i sqrt{3}}{2} ) ( =0+frac{2 j sqrt{3}}{2} ) ( frac{3 i}{=} )
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