Which of the following is the conjugate of a complex number with −1 as the real part and 3i as the imaginary part? (6 points) –1
2 answers:
Answer:
Step-by-step explanation:
the conjugate of a complex number with as the real part and 3i as the imaginary part
Complex number is always a+ib form
where 'a' is the real part and ib is the complex part
The given complex number is
To get the conjugate of given complex number , we change the middle sign
Conjugate of is
so conjugate of is
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Remark
There is no short way to do this problem and no obvious way to get the answer other that to solve each part.
Solve
A
Multiply by 2
x + 1.6 = 2(x + 0.1) Remove the brackets
x + 1.6 = 2x + 0.1*2
x + 1.6 = 2x + 0.2 Subtract x from both sides
1.6 = x + 0.2 Subtract 0.2 from both sides
1.6 - 0.2 = x
1.4 = x
Circle A
B
Subtract 2x from both sides.
3x - 2x = 1.4
Circle B
C
Remove the brackets.
4x + 6 = 2x - 6 Add 6 to both sides
4x + 12 = 2x Subtract 4x from both sides.
12 = -2x Divide by - 2
12/-2 = x
x = - 6 Don't circle C
D
I'm going to be very scant in my solution of this. You can fill in the steps.
3x = 4.2
x = 4.2/3
x = 1.4
Circle D