Show that a = −1 + √3i and b = 2 satisfy 1/a+b=1/a + 1/b

LHS = = RHS =

Step-by-step explanation:

Data provided in the question:

a = −1 + √3i and b = 2

to prove:

Considering the LHS

⇒

substituting the value of a and b, we get

⇒

or

⇒

on multiplying and dividing by conjugate ( 1 - √3i )

we get

or

or

             (as (√i)² = -1 )

or

Now,

considering the RHS

substituting the value of a and b, we get

⇒

or

⇒

or

⇒

or

⇒

now,

on multiplying and dividing by conjugate ( -1 - √3i )

we get

or

or

or

or

or

or

or

Since, LHS = RHS

hence satisfied

the answer should be x=0