Quiz about Dividing Complex Numbers

Question 1

Simplify $$\frac{4-9i}{4+14i}$$

Accepted Answer

$$-\frac{55}{106}-\frac{23i}{53}$$

Answer

$$\frac{-7}{53}+\frac{49i}{106}$$

Answer

$$\frac{4}{15}-\frac{3i}{5}$$

Answer

$$\frac{4}{21}-\frac{3i}{7}$$

Question 2

Simplify $$\frac{8+5i}{1-7i}$$

Accepted Answer

$$\frac{-27+61i}{50}$$

Answer

$$\frac{-3+76i}{65}$$

Answer

$$\frac{11+77i}{50}$$

Answer

$$\frac{-11-5i}{7}$$

Question 3

Simplify $$\frac{-4+12i}{-9+5i}$$

Accepted Answer

$$\frac{48-44i}{53}$$

Answer

$$\frac{-27-15i}{53}$$

Answer

$$\frac{7}{4}-3i$$

Answer

$$\frac{108-124i}{169}$$

Question 4

Simplify $$\frac{10-10i}{2+2i}$$

Accepted Answer

$$-5i$$

Answer

$$\frac{30-70i}{29}$$

Answer

$$5-5i$$

Answer

$$\frac{1-i}{4}$$

Question 5

Simplify $$\frac{14}{7-6i}$$

Accepted Answer

$$\frac{98+84i}{85}$$

Answer

$$\frac{35+21i}{34}$$

Answer

$$\frac{7+7i}{6}$$

Answer

$$\frac{112+96i}{85}$$

Question 6

Simplify $$\frac{1}{-10+12i}$$

Accepted Answer

$$-\frac{5}{122}-\frac{3i}{61}$$

Answer

$$\frac{-11-12i}{265}$$

Answer

$$-\frac{15}{122}-\frac{9i}{61}$$

Answer

$$\frac{5+6i}{61}$$

Question 7

Simplify $$\frac{5}{-1-9i}$$

Accepted Answer

$$\frac{-5+45i}{82}$$

Answer

$$\frac{-2+18i}{41}$$

Answer

$$\frac{-5+45i}{86}$$

Answer

$$\frac{-2+9i}{17}$$

Question 8

Simplify $$\frac{3}{12-2i}$$

Accepted Answer

$$\frac{9}{37}+\frac{3i}{74}$$

Answer

$$\frac{3}{37}+\frac{i}{74}$$

Answer

$$\frac{21+3i}{100}$$

Answer

$$\frac{27+6i}{85}$$

Question 9

Simplify $$\frac{12}{8i}$$

Accepted Answer

$$-\frac{3i}{2}$$

Answer

$$-\frac{13i}{8}$$

Answer

$$-\frac{7i}{4}$$

Answer

$$\frac{3i}{7}$$

Question 10

Simplify $$\frac{3}{16i}$$

Accepted Answer

$$-\frac{3i}{16}$$

Answer

$$-\frac{3i}{8}$$

Answer

$$-\frac{i}{4}$$

Answer

$$-\frac{i}{2}$$

Question 11

Simplify $$-\frac{11}{9i}$$

Accepted Answer

$$\frac{11i}{9}$$

Answer

$$\frac{11i}{13}$$

Answer

$$i$$

Answer

$$\frac{14i}{9}$$

Question 12

Simplify $$-\frac{2}{i}$$

Accepted Answer

$$2i$$

Answer

$$i$$

Answer

$$-i$$

Answer

$$4i$$

Dividing Complex Numbers

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