When 3+4i2+i is expressed in the form a+bi, what is the value of a?

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15-02-2018
Mathematics

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When 3+4i2+i is expressed in the form a+bi, what is the value of a?

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zrh2sfo zrh2sfo · Answer 1 · 2018-02-15T07:21:30+01:00

zrh2sfo zrh2sfo

15-02-2018

Multiplying and dividing with conjugate of 2+i in the given expression, we get(3+ 4i)(2-i)/(2+i)(2-i)=(6-3i+8i-4i^2)/(4-i^2)=(10+5i)/(4+1)=(10+5i)/5=2+i=a+biThus a=2

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