Trying to find the right answer to this..

i 9 + i 19 = i 8 .i +i 18 .i = (i 2 ) 4 .i. (i 2 ) 9 .i = (-1) 4 .i + (-1) 9 .i (use i 2 = -1) = i - i = 0

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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.

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

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2.
i⁹+ i¹⁹

i⁹+ i¹⁹= i⁸.i +i¹⁸.i = (i²)⁴.i. (i²)⁹.i
= (-1)⁴.i + (-1)⁹.i (use i²= -1)
= i - i = 0

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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)

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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

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

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

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

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