Question

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

Answer 1

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