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11TH · MATH

Question 4

menu_bookSolutionmenu_bookTheorymenu_book•(i)z1+z2z_1+z_2z1​+z2​menu_book•(ii)z1−z2z_1-z_2z1​−z2​menu_book•(iii)z1⋅z2z_1\cdot z_2z1​⋅z2​menu_book•(iv)z1z2\dfrac{z_1}{z_2}z2​z1​​
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11TH · MATH

Question 4

menu_bookSolutionmenu_bookTheorymenu_book•(i)z1+z2z_1+z_2z1​+z2​menu_book•(ii)z1−z2z_1-z_2z1​−z2​menu_book•(iii)z1⋅z2z_1\cdot z_2z1​⋅z2​menu_book•(iv)z1z2\dfrac{z_1}{z_2}z2​z1​​
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Accedmychevron_right11thchevron_rightmathchevron_rightComplex Numberschevron_rightExercise 1.5

(ii) z1−z2z_1-z_2z1​−z2​

z1−z2=−92+52−92+532i\boxed{z_1-z_2=-\frac{9\sqrt{2}+5}{2}-\frac{9\sqrt{2}+5\sqrt{3}}{2}i}z1​−z2​=−292​+5​−292​+53​​i​
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(ii)z1−z2z_1-z_2z1​−z2​