- #1
serendipityfox
- 17
- 7
- Homework Statement
- 1-2i+3i^2 / 1+2i-3i^2 =
a) 3/5 - 1/5i
b) -3/5 + 1/5i
c) -3/5 - 1/5i
d) 3/5 + 1/5i
- Relevant Equations
- i= i ,i^2= -1
i can get to 3i+1/1-3i but no further. I take it this is the correct way to start
That's a complex number, not a homework problem statement (and you omitted the brackets )! What does the composer of the exercise want from you ?serendipityfox said:Homework Statement: 1-2i+3i^2 / 1+2i-3i^2
serendipityfox said:Homework Statement: 1-2i+3i^2 / 1+2i-3i^2 =
3i+1/1-3i but no further. I take it this is the correct way to start
And we still don't know what the question isserendipityfox said:in the question
serendipityfox said:Homework Statement: 1-2i+3i^2 / 1+2i-3i^2 =
serendipityfox said:##i^2= -1##
serendipityfox said:Homework Statement: 1-2i+3i^2 / 1+2i-3i^2 =
a) 3/5 - 1/5i
b) -3/5 + 1/5i
c) -3/5 - 1/5i
d) 3/5 + 1/5i
Can you post a photo of that question?serendipityfox said:what i wrote is exactly what was written on the test paper, there is no more information :(
THINK! You KNOW this.serendipityfox said:@PeroK- thankyou, i understand
@ BvU- this is the first thing i tried, leading to...
(1-2i-3) / (1+2i+3) therefore (-2i-2) / (2i+4) how to proceed?
(1-2i+3i^2) /( 1+2i-3i^2 )
Your choices are in the form ##x+iy##, so you have to get rid of the complex denominator.serendipityfox said:(1-2i-3) / (1+2i+3) therefore (-2i-2) / (2i+4) how to proceed?
This thread is unnecessarily long, principally due poor mathematical notation as well as problems with the problem statement in general.serendipityfox said:got it, rationalise denominator, i wasn't used to applying it to complex numbers
An imaginary number is a number that, when squared, gives a negative result. It is denoted by the letter "i" and is defined as the square root of -1.
To simplify a fraction with imaginary numbers, we follow the same rules as simplifying fractions with real numbers. We factor out any common factors, cancel out any common factors in the numerator and denominator, and then simplify the remaining terms.
Yes, a fraction can still be simplified if it contains only one imaginary number. We simply factor out the imaginary number and then simplify the remaining terms if possible.
The main difference is that when simplifying a fraction with imaginary numbers, we also need to take into account the imaginary unit "i". This means that we may have to factor out an "i" from both the numerator and denominator before simplifying.
No, the imaginary unit "i" cannot be canceled out when simplifying a fraction. This is because it is not a variable, but rather a fundamental part of the number itself. Attempting to cancel out "i" will result in an incorrect simplification.