Question

Simplify: -3+i/4-3i

Answer 1

start by finding the conjugate of denominator,
multiply numerator and denominator wid it

Answer 2

sorry, whats the conjugate again? i forgot

Answer 3

conjugate of \(a+bi\) is \(a-bi\)

Answer 4

this comes under the heading of "divide" not "simplify"
as there is no such mathematical operation as "simplify"
it may also be called "write in standard form"

Answer 5

\[\frac{-3+i}{4-3i}=\frac{-3+i}{4-3i}\times \frac{4+3i}{4+3i}\] the denominator will be \(16+9=25\) since \((a+bi)(a-bi)=a^2+b^2\) always
then the real work is in the numerator

Answer 6

thank you both so much! i wish i could give two medals but i'll give to ganeshie8 because he answered first!