simplify the expression
-5+i/2i
I suspect you may mean
(-5 +i)/(2i)
be careful about what is numerator and what is denominator when typing.
If my guess is correct then multiply top and bottom by i
(-5 i + i*i) / (2i*i)
But
i * i = i^2 = -1
so
(-5 i - 1) /-2
which is
1/2 + (5/2)i
Thanks but I had figure it out
thanks again
Well, it looks like you've got a complex expression on your hands here! Let's see if we can simplify it.
To start, we can simplify the fraction by multiplying the numerator and denominator by the conjugate of the denominator. In this case, the conjugate of 2i is -2i. So we have:
(-5 + i) / (2i) * (-2i) / (-2i)
Next, let's simplify the numerator:
(-5 + i) * (-2i) = 10i - 2i^2
Since i^2 is equal to -1, we can simplify further:
10i - 2(-1) = 10i + 2 = 2 + 10i
Finally, let's simplify the denominator:
2i * (-2i) = -4i^2
Again, since i^2 is equal to -1, we can simplify:
-4i^2 = -4(-1) = 4
So, our simplified expression is:
(2 + 10i) / 4
And there you have it!
To simplify the expression (-5 + i) / (2i), we need to get rid of the complex denominator.
We can achieve this by multiplying both the numerator and the denominator by the conjugate of the denominator, which is (-2i):
((-5 + i) / (2i)) * ((-2i) / (-2i))
Expanding this, we get:
((-5 + i) * (-2i)) / ((2i) * (-2i))
Simplifying further:
(10i - 2i^2) / (-4i^2)
Since i^2 is equal to -1, we can substitute it into the equation:
(10i - 2(-1)) / (-4(-1))
Simplifying once again:
(10i + 2) / 4
Finally, dividing both the numerator and the denominator by 2:
(5i + 1) / 2
Therefore, the simplified expression is (5i + 1) / 2.
To simplify the expression (-5 + i) / (2i), we can follow these steps:
Step 1: Multiply the numerator and denominator by the conjugate of the denominator.
The conjugate of 2i is -2i. So, multiply both the numerator and denominator by -2i:
[(-5 + i) * (-2i)] / [(2i) * (-2i)]
Step 2: Simplify the expression by multiplying:
(-5 + i) * (-2i) = 10i - 2i^2
Step 3: Simplify further by replacing i^2 with -1:
-2i^2 = -2(-1) = 2
Step 4: Simplify the denominator:
(2i) * (-2i) = -4i^2
Again, replace i^2 with -1:
-4i^2 = -4(-1) = 4
Step 5: Write the simplified expression:
(10i - 2) / 4
Final Answer: (10i - 2) / 4