simplify the expression
-5+i/2i
consider the fact that 1/i = -i
That should help.
how do i work it out i don't know how to do it though
can you please help me with this
They probably want you do do it this way:
(-5+i)/(2i) * (i/i)
= (-5i + i^2)/(2i^2) , recall that i^2 = -1
= (-5i - 1)/(-2)
= (1 + 5i)/2
thank you so much Reiny your a life saver ;)
To simplify the expression (-5 + i) / (2i), we need to rationalize the denominator.
First, let's simplify the numerator (-5 + i) as it is.
Now, let's simplify the denominator (2i).
We can start by multiplying both the numerator and denominator by the conjugate of the denominator, which is -2i.
(-5 + i) * (-2i) = (-5 * -2i) + (i * -2i) = 10i - 2i^2
Simplifying further, we know that i^2 is equal to -1, so we can substitute -1 for i^2.
10i - 2(-1) = 10i + 2 = 2 + 10i
Therefore, the simplified form of (-5 + i) / (2i) is 2/2 + 10i/2, which further simplifies to 1 + 5i.