Question

Simplify the expression.
-5+i /2i

Answer 1

Answer:

$\frac{1+5i}{2}$

Step-by-step explanation:

We know i×i=i^2 which has value of -1.

We will multiply numerator and denominator by i so the denominator will no longer contain imaginary part(s).

Also multiplying by i/i does not change the value of the fraction because i/i=1.

Numerator × i gives (-5+i)i=-5i+i^2=-5i-1

=-1-5i.

Denominator × i gives (2i)i=2i^2=-2.

So the simplified version of this fraction given is:

$\frac{-1-5i}{-2}=\frac{1+5i}{2}$

The last simplification come from me multiplying fraction by -1/-1.

Answer 2

The simplification of the expression -5+i /2i is; (5i +1)/2

From the concept of complex numbers;

We know; i = √-1 and i² = -1

To simplify the expression -5+i /2i;

We must first multiply the numerator and denominator by i; so that we have;

= (-5i + i²)/2i²

where, i² = -1

= (-5i - 1)/-2

= -(5i + 1)/-2

= (5i +1)/2

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