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