Math Problem Statement
Solution
Let me extract and solve the problems from the image you've uploaded. Here are the questions I see:
Question 17:
Hasil dari adalah:
A.
B.
C.
D.
E.
Solution for Question 17:
We add the real and imaginary parts separately:
Real part:
Imaginary part:
So, the result is .
Answer: E
Question 18:
Bilangan yang bagian riil = 10 dan bagian imajiner = adalah:
A.
B.
C.
D.
E.
Solution for Question 18:
The real part is 10, and the imaginary part is , so the number is .
Answer: A
Question 19:
Hasil dari adalah:
A.
B.
C.
D.
E.
Solution for Question 19:
Distribute the 3 over both terms:
Real part:
Imaginary part:
So, the result is .
Answer: B
Question 20:
Hasil dari adalah:
A.
B.
C.
D.
E.
Solution for Question 20:
Distribute the negative sign:
Combine real and imaginary parts:
Real part:
Imaginary part:
So, the result is .
Answer: B
Would you like further details or explanations on any of the problems? Here are some related questions to expand on this topic:
- How do you multiply two complex numbers like ?
- Can you explain how the distributive property applies to complex numbers?
- What is the geometric interpretation of adding two complex numbers?
- How can you find the conjugate of a complex number, and why is it useful?
- How do you calculate the modulus (magnitude) of a complex number like ?
Tip: When subtracting complex numbers, remember to distribute the negative sign across both the real and imaginary parts!
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Addition of Complex Numbers
Multiplication of Complex Numbers
Distributive Property
Formulas
Addition of complex numbers: (a + bi) + (c + di) = (a + c) + (b + d)i
Multiplication of a complex number by a scalar: k(a + bi) = ka + kbi
Subtraction of complex numbers: (a + bi) - (c + di) = (a - c) + (b - d)i
Theorems
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Suitable Grade Level
Grades 9-11