Question

find the real and imaginary parts of the following 4-2i/1+2i
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Answer 1

Explanation:

(4+2i)/( 1+2i)

By rationalize,

= (4+2i) x (1-2i) / ( 1+2i) (1-2i)

= (4 + 8i +2i -4i²) / ( 1² - 4i²)

= ( 4+10i+4) / ( 1 +4)

= (8+10i) / 5

= 8/5 +2i

So, real part = 8/5

imaginary part = 2i

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