IDNLearn.com is your reliable source for expert answers and community insights. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.
Sagot :
To find the difference between the two complex numbers [tex]\((11 - 3i)\)[/tex] and [tex]\((4 + 5i)\)[/tex], follow these steps:
1. Identify the real and imaginary parts of each complex number:
- The first complex number, [tex]\(11 - 3i\)[/tex], has a real part of 11 and an imaginary part of [tex]\(-3i\)[/tex].
- The second complex number, [tex]\(4 + 5i\)[/tex], has a real part of 4 and an imaginary part of [tex]\(5i\)[/tex].
2. Subtract the real parts:
[tex]\[ 11 - 4 = 7 \][/tex]
3. Subtract the imaginary parts:
[tex]\[ -3i - 5i = -8i \][/tex]
4. Combine the results from the subtractions to form the resulting complex number:
[tex]\[ 7 - 8i \][/tex]
Thus, the difference of the given complex numbers is:
[tex]\[ (11 - 3i) - (4 + 5i) = 7 - 8i \][/tex]
So, the correct answer is:
[tex]\[ \boxed{7 - 8i} \][/tex]
Therefore, the correct choice from the given options is:
[tex]\[ \boxed{B} \][/tex]
1. Identify the real and imaginary parts of each complex number:
- The first complex number, [tex]\(11 - 3i\)[/tex], has a real part of 11 and an imaginary part of [tex]\(-3i\)[/tex].
- The second complex number, [tex]\(4 + 5i\)[/tex], has a real part of 4 and an imaginary part of [tex]\(5i\)[/tex].
2. Subtract the real parts:
[tex]\[ 11 - 4 = 7 \][/tex]
3. Subtract the imaginary parts:
[tex]\[ -3i - 5i = -8i \][/tex]
4. Combine the results from the subtractions to form the resulting complex number:
[tex]\[ 7 - 8i \][/tex]
Thus, the difference of the given complex numbers is:
[tex]\[ (11 - 3i) - (4 + 5i) = 7 - 8i \][/tex]
So, the correct answer is:
[tex]\[ \boxed{7 - 8i} \][/tex]
Therefore, the correct choice from the given options is:
[tex]\[ \boxed{B} \][/tex]
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.