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Complex Numbers and Quadratic Equations

Short Answer Type

Express each of the complex number given in the Excercise 1 to 10 in the form a + ib.

$space space space space space space space space space space space space space left parenthesis 5 straight i right parenthesis open parentheses fraction numerator negative 3 over denominator 5 end fraction straight i close parentheses$

663 Views

i⁹+ i¹⁹

513 Views

i^-39

666 Views

3(7 + i7) + i(7 + i7)

455 Views

Express each of the complex number given in the form of a + ib.

(1 - i) - (-1 + i6)

416 Views

Express each of the complex number given in the form of a + ib.

$space space space space space space space space space space space space space space space space open parentheses 1 third plus 3 straight i close parentheses cubed$

133 Views

7.
Express each of the complex number given in the form of a + ib.

$space space space space space space space space space space space space space space space space space space space open parentheses 1 fifth plus straight i 2 over 5 close parentheses minus open parentheses 4 plus straight i 5 over 2 close parentheses$

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open parentheses 1 fifth plus straight i 2 over 5 close parentheses minus open parentheses 4 plus straight i 5 over 2 close parentheses equals open parentheses 1 fifth minus 4 close parentheses plus straight i open parentheses 2 over 5 minus 5 over 2 close parentheses equals fraction numerator 1 minus 20 over denominator 5 end fraction plus straight i open parentheses fraction numerator 4 minus 25 over denominator 10 end fraction close parentheses

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space space fraction numerator negative 19 over denominator 5 end fraction plus straight i open parentheses fraction numerator negative 21 over denominator 10 end fraction close parentheses equals fraction numerator negative 19 over denominator 5 end fraction minus 21 over 10 straight i

119 Views

Express each of the complex number given in the form of a + ib.

$space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open square brackets open parentheses 1 third plus straight i 7 over 3 close parentheses plus open parentheses 4 plus straight i 1 third close parentheses close square brackets minus open parentheses fraction numerator negative 4 over denominator 3 end fraction plus straight i close parentheses$