How to subtract complex numbers - ACT Math
Card 0 of 5
Subtract 
from 
, given:
Subtract
A complex number is a combination of a real and imaginary number. To subtract complex numbers, subtract each element separately.
In equation 
, 
is the real component and 
is the imaginary component (designated by 
). In equation 
, 
is the real component and 
is the imaginary component. Solving for 
,
A complex number is a combination of a real and imaginary number. To subtract complex numbers, subtract each element separately.
In equation
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Simplify the exponent,
.
Simplify the exponent,
When you have an exponent on the outside of parentheses while another is on the inside of the parentheses, such as in 
, multiply the exponents together to get the answer: 
.
This is different than when you have two numbers with the same base multiplied together, such as in 
. In that case, you add the exponents together.
When you have an exponent on the outside of parentheses while another is on the inside of the parentheses, such as in
This is different than when you have two numbers with the same base multiplied together, such as in
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Complex numbers take the form 
, where 
is the real term in the complex number and 
is the nonreal (imaginary) term in the complex number.
Simplify:
Complex numbers take the form
Simplify:
Solving this equation is very similar to solving a linear binomial like 
. To solve, just combine like terms, being careful to watch for double negatives.
Solving this equation is very similar to solving a linear binomial like
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Complex numbers take the form 
, where 
is the real term in the complex number and 
is the nonreal (imaginary) term in the complex number.
Which of the following isincorrect?
Complex numbers take the form
Which of the following isincorrect?
A problem like this can be solved similarly to a linear binomial like 
/
A problem like this can be solved similarly to a linear binomial like
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Complex numbers take the form 
, where 
is the real term in the complex number and 
is the nonreal (imaginary) term in the complex number.
Which of the following equations simplifies into 
?
Complex numbers take the form
Which of the following equations simplifies into
This equation can be solved very similarly to a binomial like 
.
This equation can be solved very similarly to a binomial like
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